How do you find the derivative of # y = sin^2 x#? Calculus Differentiating Trigonometric Functions Intuitive Approach to the derivative of y=sin(x) 1 Answer 1s2s2p May 9, 2018 #dy/dx=2sinxcosx# Explanation: Using #u=sinx# gives us #y=u^2# #dy/dx=(dy)/(du)*(du)/(dx)# #(dy)/(du)=2u# #(du)/(dx)=cosx# #dy/dx=2ucosx=2sinxcosx# Answer link Related questions What is the derivative of #-sin(x)#? What is the derivative of #sin(2x)#? How do I find the derivative of #y=sin(2x) - 2sin(x)#? How do you find the second derivative of #y=2sin3x-5sin6x#? How do you compute #d/dx 3sinh(3/x)#? How do you find the derivative #y=xsinx + cosx#? What is the derivative of #sin(x^2y^2)#? What is #f'(-pi/3)# when you are given #f(x)=sin^7(x)#? How do you find the fist and second derivative of #pi*sin(pix)#? If f(x)= 2x sin(x) cos(x), how do you find f'(x)? See all questions in Intuitive Approach to the derivative of y=sin(x) Impact of this question 23630 views around the world You can reuse this answer Creative Commons License