Show that the derivative of is .

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Show that the derivative of g(x)=1xg(x)=\dfrac{1}{x} is g′(x)=−1x2g'(x)=-\dfrac{1}{x^{2}}.

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