How do you differentiate #f(x)=cos^3x#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Gav May 20, 2018 #-3cos^2(x)sin(x)# Explanation: Apply the power rule #dy/dx=3cos^2x*d/dxcosx# =#3(-sinx)(cos^2x)# =#-3sin(x)cos^2(x)# 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 2752 views around the world You can reuse this answer Creative Commons License