A nonzero polynomial with real coefficients has the property that

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

A nonzero polynomial with real coefficients has the property that f(x)=f′(x)⋅f′′(x)f(x)=f'(x)\cdot f''(x). If aa is the leading coefficient of f(x)f(x), then the value of 12a\frac{1}{2a} is .....

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