Explain, in at most two sentences, how it is possible for the derivative of the…

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

Problem

Explain, in at most two sentences, how it is possible for the derivative of the product p(x)=f(x)g(x)p(x)=f(x)g(x) to equal 00 at a point even though neither f′(x)f'(x) nor g′(x)g'(x) is 00 at that same point.

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