AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Evaluate ddx(tan⁡xx2)∣x=π4\left.\dfrac{d}{dx}\left(\dfrac{\tan x}{x^2}\right)\right|_{x=\frac{\pi}{4}}. (a) 16(π−4)π3\dfrac{16(\pi-4)}{\pi^{3}} (b) 32(π−2)π3\dfrac{32(\pi-2)}{\pi^{3}} (c) 32(π−4)π3\dfrac{32(\pi-4)}{\pi^{3}} (d) 32(π+4)π3\dfrac{32(\pi+4)}{\pi^{3}}

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