Mathematics

Problem

Consider the function

p(x)=\dfrac{\sin 5x}{1-\cos 5x}

for all

x

where

1-\cos 5x\neq 0

. Which of the following equals

p'(x)

after all algebraic simplifications? a)

-\dfrac{5}{1+\cos 5x}

\dfrac{5}{1-\cos 5x}

-\dfrac{5}{1-\cos 5x}

-\dfrac{1}{1-\cos 5x}