Derivative of 1/(x^5+1)

Instant step-by-step solution for 1/(x^5+1)

Solution

AI Explanation

Rule used: Quotient Rule.

Step-by-Step

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Derivative of 1/(x^5+1)

Answer
-5*(1+x^5)^(-2)*x^4
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: -5*(1+x^5)^(-2)*x^4
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Derivative of 1/(x^5+1) = -5*(1+x^5)^(-2)*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-5-minus-plus-minus-1

How to find the derivative of 1/(x^5+1)

To find the derivative of 1/(x^5+1), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.