Chapter 2 - The Derivative - 2.5 Derivatives of Trigonometric Functions - Exercises Set 2.5 - Page 151: 12

$f'(x)=−\csc^3x−\cot^2x\csc x$

$f(x)=cscxcotx$ $f'(x)=\frac{d}{dx}(cscx)\times{cotx}+cscx\times\frac{d}{dx}(cot)$ $f'(x)=\frac{d}{dx}(cscx)\times{cotx}+cscx\times\frac{d}{dx}(cot)$ $f'(x)=(−csc^2x)\times{cscx}+(−cotx)\times{cscxcotx}$ $f'(x)=−\csc^3x−\cot^2x\csc x$