For , the average rate of change on the interval…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For g(x)=xg(x)=\sqrt{x}, the average rate of change on the interval [a,a+h][a,a+h] (h>0)(h>0) is (a) ha+h−a\dfrac{h}{\sqrt{a+h}-\sqrt{a}} (b) a+h−ah\dfrac{\sqrt{a+h}-\sqrt{a}}{h} (c) 12a\dfrac{1}{2\sqrt{a}} (d) a+h−a\sqrt{a+h}-\sqrt{a}

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