How do you differentiate 2cos(x)+cos^2(x)? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Mia Apr 11, 2017 -2sinx-sin2x Explanation: d/dx(2cosx+cos^2x) " " =d/dx(2cosx)+d/dx(cos^2x) " " =2(d/dx(cosx))+2cos^(2-1)x(d/dx(cosx)) " " =2(-sinx)+2cosx(-sinx) " " =-2sinx-2cosxsinx " " =-2sinx-sin2x Answer link Related questions What is the derivative of y=cos(x) ? What is the derivative of y=tan(x) ? How do you find the 108th derivative of y=cos(x) ? How do you find the derivative of y=cos(x) from first principle? How do you find the derivative of y=cos(x^2) ? How do you find the derivative of y=e^x cos(x) ? How do you find the derivative of y=x^cos(x)? How do you find the second derivative of y=cos(x^2) ? How do you find the 50th derivative of y=cos(x) ? How do you find the derivative of y=cos(x^2) ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 3803 views around the world You can reuse this answer Creative Commons License