Derivative of x^15
Answer
15*x^14
Derivative of x^15
- Rule Used
- Power Rule
- Steps
- Apply the power rule: () = . The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
- Simplify the exponent:
- Final answer:
The derivative of x^15 is 15*x^14.
Instant step-by-step solution for x^15
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Derivative of x^15 = 15*x^14 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-15
How to find the derivative of x^15
To find the derivative of x^15, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of x^15?▼
The derivative of x^15 is 15*x^14.
How do you find the derivative of x^15?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 15*x^14.
Why is the derivative of x^15 equal to 15*x^14?▼
Because differentiation measures how a function changes — applying the rules to x^15 yields 15*x^14. See the full step-by-step breakdown above.