Derivative of sin(x)/x^4

Derivative of sin(x)/x^4

Answer

-4*sin(x)*x^(-5)+cos(x)*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: -4*sin(x)*x^(-5)+cos(x)*x^(-4)

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