Mathematics

Mathematics

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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