What is the derivative of f(x)=cos(ln(sinx))?
1 Answer
Nov 11, 2015
Explanation:
Use the chain rule:
= -sin(ln(sinx))[1/sinx d/dx(sinx)]
= -sin(ln(sinx))[1/sinx cosx]
= sin(-ln(sinx)) cotx
= cotxsin(ln(1/sinx))
= cotxsin(ln(cscx))