Derivative of 1/(x^5+1)
Answer
-5*(1+x^5)^(-2)*x^4
Derivative of 1/(x^5+1)
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 1/(+1): use the quotient rule (u/v)' = (u'v − uv')/v². The minus sign belongs to the derivative of the denominator; swapping it is the usual error.
- Differentiate numerator and denominator, then combine.
- Final answer: -5*(1+)^(-2)*
The derivative of 1/(x^5+1) is -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.
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Frequently Asked Questions
What is the derivative of 1/(x^5+1)?▼
The derivative of 1/(x^5+1) is -5*(1+x^5)^(-2)*x^4.
How do you find the derivative of 1/(x^5+1)?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -5*(1+x^5)^(-2)*x^4.
Why is the derivative of 1/(x^5+1) equal to -5*(1+x^5)^(-2)*x^4?▼
Because differentiation measures how a function changes — applying the rules to 1/(x^5+1) yields -5*(1+x^5)^(-2)*x^4. See the full step-by-step breakdown above.