Logarithmic Problems

317 problems tagged with "Logarithmic"

These logarithmic calculus problems work through derivatives and integrals of ln(x) and log_a(x) using the logarithm differentiation rule.

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1/2*sqrt(x) + 2*1/sqrt(1-x^2) + 5*ln(x)

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3*ln(x) + sqrt(x)

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5*ln(x) + ln(x)

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5*x + 2*cos(x) - ln(x)

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4*sqrt(x) + 2*ln(x)

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3*ln(x) + 1/2*x^2 + 2*1/sqrt(1-x^2)

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1/2*ln(x) + 4*1/sqrt(1-x^2)

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1/x^2 + 5*ln(x)

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3*x + x^4 - ln(x)

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1/2*e^x - ln(x) + 5*x^3

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4*tan(x) + 1/2*1/x^2 + 4*ln(x)

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1/2*ln(x) - 1/sqrt(1-x^2)

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-ln(x) + 4*x + 4*x

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1/2*ln(x) + 2*sin(x)

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2*sec(x)^2 + 3*ln(x)

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5*x^4 + 4*ln(x)

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3*ln(x) - cos(x) + 3*1/x

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4*ln(x) + sec(x)^2 + 1/2*e^x

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-ln(x) + 1/sqrt(1-x^2)

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1/2*x^2 + 5*ln(x)

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ln(x) + 4*cos(x) + cos(x)

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sec(x)^2 - x^3 + 2*ln(x)

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1/2*ln(x) - x^4

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4*ln(x) + 1/2*x^3

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4*1/x + 2*e^x - ln(x)

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1/2*x^4 + 1/2*ln(x) + 3*cos(x)

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2*1/(1+x^2) + 4*ln(x)

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3*ln(x) + 1/2*e^x

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ln(x) + 3*1/sqrt(1-x^2)

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2*cos(x) - sec(x)^2 + 3*ln(x)

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-ln(x) + 2*1/x^2

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4*ln(x) + 5*1/(1+x^2) + 3*x^3

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5*ln(x) + 1/2*sec(x)^2 + 1/2*x

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2*ln(x) + 1/2*cos(x) + sin(x)

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-sec(x)^2 + 5*cos(x) + 5*ln(x)

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4*sin(x) - ln(x)

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3*cos(x) + 5*cos(x) + 5*ln(x)

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-ln(x) + 4*sqrt(x) + 5*sec(x)^2

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4*sin(x) + 3*ln(x)

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-1/sqrt(1-x^2) + 5*sin(x) - ln(x)

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1/2*x^2 + 4*x^2 + 1/2*ln(x)

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1/2*1/x + x^3 + 3*ln(x)

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4*ln(x) + 2*tan(x)

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4*sin(x) + 1/2*ln(x)

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-ln(x) + 3*sin(x) + e^x

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2*ln(x) - 1/sqrt(1-x^2)

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3*ln(x) - sec(x)^2

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-x^2 + 3*ln(x) - x^4

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3*1/(1+x^2) + ln(x)

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5*ln(x) + 1/2*x^4 + 1/2*1/x

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5*ln(x) - 1/x^2

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4*ln(x) + 1/2*1/(1+x^2) + 3*cos(x)

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-ln(x) + 5*tan(x) + 5*1/sqrt(1-x^2)

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2*x^3 + 2*x^2 - ln(x)

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4*x^2 + 2*ln(x)

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2*ln(x) - 1/x^2

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ln(x) + 1/2*1/x

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2*sqrt(x) + 5*ln(x) + 4*1/x

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5*e^x + ln(x) + 2*sec(x)^2

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3*1/x^2 + 5*ln(x)

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ln(x) + 1/sqrt(1-x^2)

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4*ln(x) + 3*ln(x)

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3*ln(x) + 1/(1+x^2)

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ln(x) - ln(x) + 2*cos(x)

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-1/x^2 + 4*ln(x) + 1/2*1/x^2

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4*e^x + 1/2*tan(x) + 1/2*ln(x)

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4*ln(x) + 3*sec(x)^2 + tan(x)

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3*1/sqrt(1-x^2) + 5*ln(x)

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1/x^2 + 4*ln(x) + x

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-cos(x) + 4*x + 3*ln(x)

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2*sin(x) - ln(x)

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4*sin(x) + 5*ln(x) - sqrt(x)

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5*ln(x) + 5*cos(x) + sin(x)

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2*tan(x) + 2*ln(x) + 1/x

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5*sqrt(x) + 2*ln(x)

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-x^3 + 5*ln(x) + 3*ln(x)

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4*1/x + 5*ln(x)

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2*ln(x) + x^3 + 5*tan(x)

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-ln(x) + 5*1/sqrt(1-x^2) + 2*x

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1/2*1/x + ln(x) + 1/2*1/x

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-1/sqrt(1-x^2) + 4*ln(x) + 3*sin(x)

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-ln(x) - cos(x)

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2*ln(x) + 4*tan(x)

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4*1/(1+x^2) + 5*tan(x) + 5*ln(x)

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ln(x) + 1/2*tan(x) - 1/(1+x^2)

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5*ln(x) + 1/sqrt(1-x^2)

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ln(x) + 5*e^x + x^3

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3*ln(x) + 2*sec(x)^2

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-tan(x) + ln(x)

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3*ln(x) + sqrt(x) - 1/x

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5*e^x - ln(x) + 5*e^x

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4*x^2 + 3*tan(x) + 3*ln(x)

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4*sqrt(x) + 1/2*ln(x)

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5*cos(x) - ln(x)

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5*1/x + 1/2*ln(x)

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1/2*ln(x) - tan(x)

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1/2*sqrt(x) + 1/2*x^3 + 2*ln(x)

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-ln(x) + 1/2*x^4

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2*ln(x) + 5*1/sqrt(1-x^2)

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3*sqrt(x) + 5*ln(x)

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3*x + 2*ln(x) + 4*1/x

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5*x^3 + 5*ln(x)

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5*x^4 + 3*x^3 + 3*ln(x)

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5*sec(x)^2 + 2*ln(x) + 3*sec(x)^2

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1/2*1/(1+x^2) + 5*ln(x)

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5*sin(x) + x^3 + 4*ln(x)

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3*sin(x) - tan(x) + ln(x)

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-ln(x) + 3*x^2 + x^2

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2*ln(x) + 5*e^x

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integral→View solution

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5*1/x^2 - 1/sqrt(1-x^2) + ln(x)

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4*ln(x) + ln(x) + 4*x^3

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2*cos(x) + 4*ln(x) + 1/(1+x^2)

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abs(x) / 5*ln(x)

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sqrt(2*cos(x)) - sqrt(2*ln(x))

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sqrt(sqrt(x)) - sqrt(ln(x))

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ln(x) / 5*abs(x)

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(ln(x) * 4*1/(x^2)) / x^2

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sqrt(tan(x)) - sqrt(ln(x))

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3*1/(x^2) / ln(x)

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(3*e^x * 1/(x^2)) / ln(x)

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5*ln(x)^2 - 1/x^2

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2*e^x^2 - ln(x)^2

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(ln(x) - e^x) / (abs(x) - sqrt(x))

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(5*cos(x) * 2*ln(x)) / x

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sqrt(ln(x)) - sqrt(5*x^2)

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(3*ln(x) - x^3) / (ln(x) - ln(x))

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(tan(x) - cos(x)) / (ln(x) - ln(x))

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(ln(x) * 4*sqrt(x)) / e^x

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ln(x)^2 - abs(x)^2

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3*x^2^2 - ln(x)^2

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(2*ln(x) - 4*tan(x)) / (1/x - ln(x))

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5*sin(x) / ln(x)

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(4*ln(x) * sin(x)) / sqrt(x)

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(3*ln(x) * 5*ln(x)) / e^x

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(3*ln(x) * tan(x)) / 1/(x^2)

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4*ln(x) / 2*sqrt(x)

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sqrt(ln(x)) - sqrt(2*sqrt(x))

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(5*1/x - cos(x)) / (sqrt(x) - ln(x))

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sqrt(3*ln(x)) - sqrt(2*sin(x))

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(ln(x) * 3*tan(x)) / 1/(x^2)

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4*ln(x)^2 - 3*abs(x)^2

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sqrt(5*e^x) - sqrt(ln(x))

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ln(x)^2 - 4*cos(x)^2

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(5*x^2 * ln(x)) / cos(x)

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(tan(x) - 1/x) / (x^3 - ln(x))

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5*ln(x) / cos(x)

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(2*ln(x) * 3*ln(x)) / x^2

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(3*e^x * 2*sin(x)) / ln(x)

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(ln(x) * 4*ln(x)) / 1/x

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(3*x^2 * ln(x)) / x^3

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2*ln(x) / 1/(x^2)

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(5*x^2 - 4*ln(x)) / (tan(x) - x^3)

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ln(x)^2 - 2*sqrt(x)^2

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ln(x)^2 - ln(x)^2

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sqrt(4*ln(x)) - sqrt(tan(x))

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sqrt(5*1/(x^2)) - sqrt(ln(x))

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5*ln(x)^2 - sin(x)^2

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2*ln(x) / cos(x)

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(ln(x) * ln(x)) / x^3

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(ln(x) - 3*ln(x)) / (x - sin(x))

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(3*sqrt(x) * 5*ln(x)) / 1/(x^2)

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ln(x) / 3*sqrt(x)

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(4*tan(x) - ln(x)) / (sin(x) - ln(x))

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5*ln(x)^2 - x^3^2

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sqrt(5*1/(x^2)) - sqrt(5*ln(x))

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5*ln(x) / 2*x^3

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(5*sqrt(x) * 5*ln(x)) / tan(x)

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3*ln(x)^2 - x^2^2

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(3*ln(x) - ln(x)) / (1/(x^2) - 1/x)

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(4*sin(x) - ln(x)) / (tan(x) - cos(x))

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sqrt(ln(x)) - sqrt(5*x^2)

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(sqrt(x) * abs(x)) / ln(x)

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(ln(x) * tan(x)) / 1/x

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2*tan(x)^2 - 3*ln(x)^2

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sqrt(3*sqrt(x)) - sqrt(ln(x))

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(ln(x) * 5*e^x) / sin(x)

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(2*x * 4*ln(x)) / 1/(x^2)

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5*sqrt(x)^2 - 2*ln(x)^2

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sqrt(3*x) - sqrt(ln(x))

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sqrt(ln(x)) - sqrt(ln(x))

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(3*tan(x) - 5*e^x) / (ln(x) - sqrt(x))

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ln(x) / 3*cos(x)

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sqrt(5*cos(x)) - sqrt(2*ln(x))

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ln(x) / 3*abs(x)

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sqrt(4*x) - sqrt(3*ln(x))

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sqrt(3*ln(x)) - sqrt(3*x)

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5*x^2 / 5*ln(x)

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(5*1/x - 3*ln(x)) / (1/(x^2) - x)

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sqrt(ln(x)) - sqrt(4*x^3)

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(3*ln(x) * abs(x)) / x

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(2*tan(x) * sqrt(x)) / ln(x)

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3*ln(x) / 3*sqrt(x)

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(e^x - x) / (x^2 - ln(x))

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(sqrt(x) - 1/(x^2)) / (sqrt(x) - ln(x))

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(tan(x) * 5*x^2) / ln(x)

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ln(x)^2 - 4*x^3^2

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(ln(x) * 3*ln(x)) / abs(x)

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3*ln(x) / tan(x)

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sqrt(5*x^3) - sqrt(ln(x))

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3*ln(x)^2 - x^3^2

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(ln(x) - 5*sin(x)) / (sqrt(x) - x)

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ln(x)^2 - 2*1/x^2

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ln(x)^2 - 1/x^2

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ln(x)^2 - 5*x^2^2

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(3*cos(x) * 5*e^x) / ln(x)

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(sqrt(x) * 2*ln(x)) / x^3

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(2*e^x - 2*x^2) / (sin(x) - ln(x))

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(5*ln(x) * 5*sin(x)) / sqrt(x)

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(3*1/(x^2) - 4*ln(x)) / (sqrt(x) - e^x)

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(2*1/x * 5*ln(x)) / sqrt(x)

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(ln(x) * tan(x)) / cos(x)

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(3*sin(x) - 2*ln(x)) / (sin(x) - e^x)

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(abs(x) - 4*x^3) / (ln(x) - 1/(x^2))

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5*ln(x)^2 - 4*1/x^2

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(2*1/(x^2) * ln(x)) / x^2

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sqrt(ln(x)) - sqrt(3*sin(x))

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(tan(x) - 1/(x^2)) / (ln(x) - sqrt(x))

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(3*ln(x) - 5*1/x) / (tan(x) - 1/x)

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(4*x - 3*1/x) / (cos(x) - ln(x))

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(sqrt(x) * 1/x) / ln(x)

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(3*ln(x) - 2*1/x) / (cos(x) - cos(x))

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(sqrt(x) * 2*sqrt(x)) / ln(x)

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(tan(x) - 5*x^3) / (e^x - ln(x))

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(5*x * 4*x) / ln(x)

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sqrt(3*x^3) - sqrt(5*ln(x))

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4*sin(x) / ln(x)

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sqrt(ln(x)) - sqrt(e^x)

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2*ln(x)^2 - cos(x)^2

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3*x^2 - ln(x)^2

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(5*x^2 * ln(x)) / x^3

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(2*ln(x) * 3*1/x) / tan(x)

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(4*1/(x^2) * 4*x) / ln(x)

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(5*abs(x) - 3*ln(x)) / (abs(x) - x^2)

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Popular Tags

Fraction Trigonometric Derivative Limit Integral Polynomial Radical Exponential Logarithmic