Question

Use logarithmic differentiation to find the derivatives of the ff function: Dx(ln (sin x)) =

Answer 1

Step-by-step explanation:

d/dx[ln(sin x)]=1/(sin x)×d/dx (sin x)----[d/dx log x=1/x]

=1/(sin x)×(cos x)×d/dx(x)---[d/dx sin x=cos x]

=1/(sinx)×(cosx)×(1)---[d/dx X=1]

=cosec x.cos x----[1/sin x=cosec x]