Let . Calculate its average rate of change between and (correct to two decimal…

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

Problem

Let g(x)=sin⁡xg(x)=\sin x. Calculate its average rate of change between x=0x=0 and x=π4x=\frac{\pi}{4} (correct to two decimal places). State whether this average rate is less than, equal to, or greater than g′(0)g'(0).

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