Derivative of x^(1/8)

Instant step-by-step solution for x^(1/8)

Solution

AI Explanation

Rule used: Quotient Rule.

Step-by-Step

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Derivative of x^(1/8)

Answer
(1/8)*x^(-7/8)
Rule Used
Quotient Rule
Steps
  1. Identify a quotient of two functions: use the quotient rule (u/v)' = (u'v − uv')/v².
  2. Differentiate numerator and denominator, then combine.
  3. Final answer: (1/8)*x^(-7/8)
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Derivative of x^(1/8) = (1/8)*x^(-7/8) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-1-minus-over-minus-8

How to find the derivative of x^(1/8)

To find the derivative of x^(1/8), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.