How do you find the derivative of cos(tan x)? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer kumail Dec 27, 2016 Use the chain rule: dy/dx cos(tan(x)) = -sin(tan(x))*sec^2(x) Explanation: The chain rule states that dy/dx f(g(x)) = f'(g(x))*(g'(x)) 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 2300 views around the world You can reuse this answer Creative Commons License