Mathematics

Problem

For the function

y=\frac{x^{2} \tan 3x}{e^{x}},

answer the following: a. Part 1: (i) Find

\dfrac{dy}{dx}

. b. Part 2: (ii) Rewrite your answer to part (i) with

\tan 3x

taken as the common factor. c. Part 3: (iii) Hence evaluate

\left.\dfrac{dy}{dx}\right|_{x=0}