Derivative of x^(1/9)
Answer
(1/9)*x^(-8/9)
Derivative of x^(1/9)
- Rule Used
- Power Rule
- Steps
- Identify the expression as a power function and apply the power rule. A rational exponent is allowed: ^(p/q) = (p/q)·.
- Final answer: (1/9)*
The derivative of x^(1/9) is (1/9)*x^(-8/9).
Instant step-by-step solution for x^(1/9)
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Derivative of x^(1/9) = (1/9)*x^(-8/9) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-1-minus-over-minus-9
How to find the derivative of x^(1/9)
To find the derivative of x^(1/9), 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^(1/9)?▼
The derivative of x^(1/9) is (1/9)*x^(-8/9).
How do you find the derivative of x^(1/9)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (1/9)*x^(-8/9).
Why is the derivative of x^(1/9) equal to (1/9)*x^(-8/9)?▼
Because differentiation measures how a function changes — applying the rules to x^(1/9) yields (1/9)*x^(-8/9). See the full step-by-step breakdown above.