The derivative of a differentiable function is given by

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The derivative of a differentiable function is given by f′(x)=(x−a)(x−3)f'(x)=(x-a)(x-3), where aa is a real constant. State the condition on aa that guarantees ff has a local maximum at x=ax=a.

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