Let . Evaluate at…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let

f(x)=\dfrac{e^{x^{2}}}{\tan 3x}

. Evaluate

f'(x)

at

x=\dfrac{\pi}{4}

. (a)

\left(\dfrac{\pi}{2}-6\right)e^{\pi^{2}/16}

(b)

-\left(\dfrac{\pi}{2}+6\right)e^{\pi^{2}/16}

(c)

\left(-\dfrac{\pi}{2}+6\right)e^{\pi^{2}/16}

(d)

\left(\dfrac{\pi}{2}+6\right)e^{\pi^{2}/16}

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