How do you differentiate given #sin^2(x/6)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Shwetank Mauria Jun 16, 2016 #(df)/(dx)=sin(x/3)# Explanation: As #f(x)=sin^2(x/6)# Using chain rule, #(df)/(dx)=2sin(x/6)xxcos(x/6)# Now as #2sinAcosA=sin2A#, #(df)/(dx)=sin(x/3)# 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 1065 views around the world You can reuse this answer Creative Commons License