How do you differentiate cos 2x? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Noah G Jan 3, 2017 Use the chain rule. We let y = cosu and u = 2x. Then dy/(du) = -sinu and (du)/dx= 2. dy/dx = dy/(du) xx (du)/dx dy/dx = -sinu xx 2 dy/dx = -2sinu Since u = 2x: dy/dx = -2sin2x Hopefully this helps! 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 8182 views around the world You can reuse this answer Creative Commons License