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