Derivative of x^17 + x^16
Answer
16*x^15+17*x^16
Derivative of x^17 + x^16
- 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^17 + x^16 is 16*x^15+17*x^16.
Instant step-by-step solution for x^17 + x^16
Share this result
Derivative of x^17 + x^16 = 16*x^15+17*x^16 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-17-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-16
How to find the derivative of x^17 + x^16
To find the derivative of x^17 + x^16, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
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)
Derivative of e^(2x)
Solve d/dx e^(2x)
Derivative of e^(-x)
Solve d/dx e^(-x)
Derivative of e^x
Solve d/dx e^x
Derivative of ln(2x)
Solve d/dx ln(2x)
Derivative of ln(x)
Solve d/dx ln(x)
Frequently Asked Questions
What is the derivative of x^17 + x^16?▼
The derivative of x^17 + x^16 is 16*x^15+17*x^16.
How do you find the derivative of x^17 + x^16?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 16*x^15+17*x^16.
Why is the derivative of x^17 + x^16 equal to 16*x^15+17*x^16?▼
Because differentiation measures how a function changes — applying the rules to x^17 + x^16 yields 16*x^15+17*x^16. See the full step-by-step breakdown above.