Derivative of 17*x^17
Answer
289*x^16
Derivative of 17*x^17
- Rule Used
- Constant Multiple Rule
- Steps
- is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
- Final answer:
The derivative of 17*x^17 is 289*x^16.
Instant step-by-step solution for 17*x^17
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Derivative of 17*x^17 = 289*x^16 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-17x-minus-to-minus-the-minus-17
How to find the derivative of 17*x^17
To find the derivative of 17*x^17, 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 17*x^17?▼
The derivative of 17*x^17 is 289*x^16.
How do you find the derivative of 17*x^17?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 289*x^16.
Why is the derivative of 17*x^17 equal to 289*x^16?▼
Because differentiation measures how a function changes — applying the rules to 17*x^17 yields 289*x^16. See the full step-by-step breakdown above.