Derivative of x^sin(x)

Derivative of x^sin(x)

Answer

(cos(x)*log(x)+sin(x)*x^(-1))*x^sin(x)

Rule Used

Power Rule

Steps

1. Identify the expression as a power function and apply the power rule.
2. Final answer: (cos(x)*log(x)+sin(x)*x^(-1))*x^sin(x)

Derivative of x^sin(x) = (cos(x)*log(x)+sin(x)*x^(-1))*x^sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-sinx