Derivative of ln(x^2+5)
Answer
2*(5+x^2)^(-1)*x
Derivative of ln(x^2+5)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 2*(5+)^(-1)*x
The derivative of ln(x^2+5) is 2*(5+x^2)^(-1)*x.
Instant step-by-step solution for ln(x^2+5)
Share this result
Derivative of ln(x^2+5) = 2*(5+x^2)^(-1)*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-lnx-minus-to-minus-the-minus-2-minus-plus-minus-5
How to find the derivative of ln(x^2+5)
To find the derivative of ln(x^2+5), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of 1/x^2
Solve d/dx 1/x^2
Derivative of 10^x
Solve d/dx 10^x
Derivative of 2^x
Solve d/dx 2^x
Derivative of 2x
Solve d/dx 2x
Derivative of 3x^2
Solve d/dx 3x^2
Derivative of 5x
Solve d/dx 5x
Derivative of Abs(x)
Solve d/dx Abs(x)
Derivative of acos(x)
Solve d/dx acos(x)
Derivative of asin(x)
Solve d/dx asin(x)
Derivative of atan(x)
Solve d/dx atan(x)
Frequently Asked Questions
What is the derivative of ln(x^2+5)?▼
The derivative of ln(x^2+5) is 2*(5+x^2)^(-1)*x.
How do you find the derivative of ln(x^2+5)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 2*(5+x^2)^(-1)*x.
Why is the derivative of ln(x^2+5) equal to 2*(5+x^2)^(-1)*x?▼
Because differentiation measures how a function changes — applying the rules to ln(x^2+5) yields 2*(5+x^2)^(-1)*x. See the full step-by-step breakdown above.