Explain briefly why contains terms involving and as well as .

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

Problem

Explain briefly why d2dx2[f(x)g(x)]\dfrac{d^{2}}{dx^{2}}\bigl[f(x)g(x)\bigr] contains terms involving f′′(x)f''(x) and g′′(x)g''(x) as well as f′(x)g′(x)f'(x)g'(x).

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