Let for . Determine…

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

Problem

Let f(x)=e2xxf(x)=\dfrac{e^{2x}}{x} for x≠0x\neq 0. Determine f′(x)f'(x). (a) e2x(2x+1)x2\dfrac{e^{2x}(2x+1)}{x^{2}} (b) e2x(2x−1)x2\dfrac{e^{2x}(2x-1)}{x^{2}} (c) e2x(2x2−1)x2\dfrac{e^{2x}(2x^{2}-1)}{x^{2}} (d) e2x(2x−1)x\dfrac{e^{2x}(2x-1)}{x}

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