How do you find the derivative of cos( sin( x ))cos(sin(x))? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Sasha P. Oct 11, 2015 f'(x)=-cosxsin(sinx) Explanation: f(x)=cos(sinx) f'(x)=-sin(sinx)*cosx f'(x)=-cosxsin(sinx) 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 2766 views around the world You can reuse this answer Creative Commons License