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 1083 views around the world You can reuse this answer Creative Commons License