Let . Determine…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

4. Let f(x)=x2 esin⁡xf(x)=x^{2}\,e^{\sin x}. Determine f′(π2)\displaystyle f'(\tfrac{\pi}{2}). (a) e(π+π24)e\left(\pi+\dfrac{\pi^{2}}{4}\right) (b) πe\pi e (c) π2e4\dfrac{\pi^{2}e}{4} (d) π\pi

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