How do you differentiate #f(x)=ln(cotx)# using the chain rule? Calculus Basic Differentiation Rules Chain Rule 1 Answer Trevor Ryan. Nov 10, 2015 #d/dx[ln(cotx)]=(-cosec^2x)/(cotx)# Explanation: #d/dx[ln(cotx)]=1/cotx*d/dxcotx# #=(-cosec^2x)/(cotx)# Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of #y= 6cos(x^2)# ? How do you find the derivative of #y=6 cos(x^3+3)# ? How do you find the derivative of #y=e^(x^2)# ? How do you find the derivative of #y=ln(sin(x))# ? How do you find the derivative of #y=ln(e^x+3)# ? How do you find the derivative of #y=tan(5x)# ? How do you find the derivative of #y= (4x-x^2)^10# ? How do you find the derivative of #y= (x^2+3x+5)^(1/4)# ? How do you find the derivative of #y= ((1+x)/(1-x))^3# ? See all questions in Chain Rule Impact of this question 3298 views around the world You can reuse this answer Creative Commons License