A calculator reports for

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

Problem

A calculator reports h′(0.5)≈0.8776h'(0.5)\approx0.8776 for h(x)=sin⁡(2x)xh(x)=\dfrac{\sin(2x)}{x}. Based on this value, is hh increasing or decreasing at x=0.5x=0.5? Explain briefly.

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