Transcendental Functions

Find dy/dx if y=ln|sin x|

Dx(ln x)=1/x and Dx(sin x)=cos x

Using chain rule:

y = ln|sin x|

dy/dx = (1/sin x) Dx(sin x)

dy/dx = (1/sin x)(cos x)

dy/dx = (cos x / sin x)

dy/dx = cot x

Study Sheet - Transcendental Functions