Derivada de sin(x)/x^3

Derivative of sin(x)/x^3

Answer

-3*sin(x)*x^(-4)+cos(x)*x^(-3)

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*sin(x)*x^(-4)+cos(x)*x^(-3)

Derivative of sin(x)/x^3 = -3*sin(x)*x^(-4)+cos(x)*x^(-3) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sinx-minus-over-minus-x-minus-to-minus-the-minus-3