For the function y= x^ 2 3x e^ x

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

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}

.

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