Derivative of x^7+x^5
Answer
5*x^4+7*x^6
Derivative of x^7+x^5
- Rule Used
- Sum Rule
- Steps
- Differentiate + term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
- Final answer: +
The derivative of x^7+x^5 is 5*x^4+7*x^6.
Instant step-by-step solution for x^7+x^5
Share this result
Derivative of x^7+x^5 = 5*x^4+7*x^6 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-7-minus-plus-minus-x-minus-to-minus-the-minus-5
How to find the derivative of x^7+x^5
To find the derivative of x^7+x^5, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of sin(x)
Solve d/dx sin(x)
Derivative of sinh(x)
Solve d/dx sinh(x)
Derivative of sqrt(x)
Solve d/dx sqrt(x)
Derivative of tan(x)^2
Solve d/dx tan(x)^2
Derivative of tan(x)
Solve d/dx tan(x)
Derivative of tanh(x)
Solve d/dx tanh(x)
Derivative of x*cos(x)
Solve d/dx x*cos(x)
Derivative of x*e^x
Solve d/dx x*e^x
Derivative of x*ln(x)
Solve d/dx x*ln(x)
Derivative of x+1
Solve d/dx x+1
Frequently Asked Questions
What is the derivative of x^7+x^5?▼
The derivative of x^7+x^5 is 5*x^4+7*x^6.
How do you find the derivative of x^7+x^5?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 5*x^4+7*x^6.
Why is the derivative of x^7+x^5 equal to 5*x^4+7*x^6?▼
Because differentiation measures how a function changes — applying the rules to x^7+x^5 yields 5*x^4+7*x^6. See the full step-by-step breakdown above.