Derivative of 9x^9
Answer
81*x^8
Derivative of 9x^9
- 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 9*x^9 is 81*x^8.
Instant step-by-step solution for 9x^9
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Derivative of 9x^9 = 81*x^8 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-9x-minus-to-minus-the-minus-9
How to find the derivative of 9x^9
To find the derivative of 9x^9, 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 9x^9?▼
The derivative of 9x^9 is 81*x^8.
How do you find the derivative of 9x^9?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 81*x^8.
Why is the derivative of 9x^9 equal to 81*x^8?▼
Because differentiation measures how a function changes — applying the rules to 9x^9 yields 81*x^8. See the full step-by-step breakdown above.