Derivative of 1/(x^3+1)

Derivative of 1/(x^3+1)

Answer

-3*(1+x^3)^(-2)*x^2

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: -3*(1+x^3)^(-2)*x^2

Derivative of 1/(x^3+1) = -3*(1+x^3)^(-2)*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-3-minus-plus-minus-1