Derivative of x^8 + x^7
Answer
7*x^6+8*x^7
Derivative of x^8 + x^7
- 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^8 + x^7 is 7*x^6+8*x^7.
Instant step-by-step solution for x^8 + x^7
Share this result
Derivative of x^8 + x^7 = 7*x^6+8*x^7 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-8-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-7
How to find the derivative of x^8 + x^7
To find the derivative of x^8 + x^7, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
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)
Derivative of x^(1/3)
Solve d/dx x^(1/3)
Derivative of cos(2x)
Solve d/dx cos(2x)
Derivative of cos(x)^2
Solve d/dx cos(x)^2
Derivative of cos(x)
Solve d/dx cos(x)
Derivative of cosh(x)
Solve d/dx cosh(x)
Derivative of cot(x)
Solve d/dx cot(x)
Derivative of csc(x)
Solve d/dx csc(x)
Frequently Asked Questions
What is the derivative of x^8 + x^7?▼
The derivative of x^8 + x^7 is 7*x^6+8*x^7.
How do you find the derivative of x^8 + x^7?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 7*x^6+8*x^7.
Why is the derivative of x^8 + x^7 equal to 7*x^6+8*x^7?▼
Because differentiation measures how a function changes — applying the rules to x^8 + x^7 yields 7*x^6+8*x^7. See the full step-by-step breakdown above.