Explain, in one or two sentences, why the derivative of a differentiable rational…

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

Problem

Explain, in one or two sentences, why the derivative of a differentiable rational function p(x)q(x)\tfrac{p(x)}{q(x)} (with q(x)≠0q(x)\neq 0) always has q(x)2q(x)^2 rather than q(x)q(x) in its denominator.

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