Question

what is the derivative of x^4(sec(x)-tan(x))? Help!!

Answer 1

\[
\frac{d}{dx}x^4(\sec(x)-\tan(x)) = x^4~ *~ \frac{d}{dx}(\sec(x)-\tan(x)) ~+~
\frac{d}{dx}x^4 ~*~ (\sec(x)-\tan(x)) = ?
\]

Answer 2

\[
\frac{d}{dx}x^4 = ? \\
\frac{d}{dx}\sec(x) = ? \\
\frac{d}{dx}\tan(x) = ?
\]Plug them above and simplify.