If , which of the following equals when evaluated from the limit…

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

Problem

If f(x)=1xf(x)=\dfrac{1}{x}, which of the following equals f′(x)f'(x) when evaluated from the limit definition? (a) −1x2-\dfrac{1}{x^{2}} (b) 1x2\dfrac{1}{x^{2}} (c) −1x-\dfrac{1}{x} (d) 2x3\dfrac{2}{x^{3}}

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