What is the derivative of cos^2x? Calculus Basic Differentiation Rules Chain Rule 1 Answer ali ergin Apr 21, 2016 (d y)/(d x)=-2cos x sin x Explanation: y=cos^2x cos x=u y=u^2 (d y)/(d u)=2u=2cosu (d u)/(d x)=-sin x (d y)/(d x)=(d y)/(d u)*(d u)/(d x) (d y)/(d x)=-2cos x sin 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 1302 views around the world You can reuse this answer Creative Commons License