Derivative of x/(x^4+1)

Derivative of x/(x^4+1)

Answer

(1+x^4)^(-1)-4*(1+x^4)^(-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: (1+x^4)^(-1)-4*(1+x^4)^(-2)*x^4

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