What is the derivative of #cos(pi x)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer Shwetank Mauria Feb 3, 2017 #(dy)/(dx)=-pisin(pix)# Explanation: We use chain rule here As #y=cos(pix)# #(dy)/(dx)=d/(d(pix))cos(pix)xxd/(dx)(pix)# = #-sin(pix)xxpi# = #-pisin(pix)# 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 2756 views around the world You can reuse this answer Creative Commons License