A twice-differentiable even function satisfies and for all real

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

Problem

A twice-differentiable even function hh satisfies h(−2)=h(2)=5h(-2)=h(2)=5 and h′′(x)>0h''(x)>0 for all real xx. Determine the xx-coordinate of the stationary point of hh that lies in (−2,2)(-2,2).

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