If , determine…

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

Problem

If f(x)=x2tan⁡xf(x)=x^{2}\tan x, determine f′ ⁣(π4)f'\!\left(\dfrac{\pi}{4}\right). (a) π4+π28\dfrac{\pi}{4}+\dfrac{\pi^{2}}{8} (b) π28\dfrac{\pi^{2}}{8} (c) π2+π28\dfrac{\pi}{2}+\dfrac{\pi^{2}}{8} (d) π2+π216\dfrac{\pi}{2}+\dfrac{\pi^{2}}{16}

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