Derivative of ln(sin(x))

Derivative of ln(sin(x))

Answer

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

Rule Used

Chain Rule

Steps

1. Identify a composite function: use the chain rule d/dx f(g(x)) = f'(g(x))·g'(x).
2. Differentiate the outer function, then multiply by the inner derivative.
3. Final answer: cos(x)*sin(x)^(-1)

Derivative of ln(sin(x)) = cos(x)*sin(x)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-lnsinx