Question

derivative of 1/(1+sec(x))^2

Answer 1

\[\begin{align*}
\frac{d}{dx}\left[\frac{1}{(1+\sec x)^2}\right]&=\frac{d}{dx}\left[(1+\sec x)^{-2}\right]\\\\
&=-2(1+\sec x)^{-3}\frac{d}{dx}\left[1+\sec x\right]\\\\
&=\cdots
\end{align*}\]