AP Calculus ABhardmcq1 pt

Selected values of a differentiable function hh are shown: h(3)=9h(3)=9, h(4)=16h(4)=16, and h(5)=25h(5)=25. Averaging the left and right difference quotients at x=4x=4 gives which estimate of h(4)h'(4)?

A.88
B.77
C.99
D.1616

Explanation

Core Concept

The left difference quotient is 1691=7\dfrac{16-9}{1}=7 and the right one is 25161=9\dfrac{25-16}{1}=9. Their average is 7+92=8\dfrac{7+9}{2}=8.

Correct Answer

A88

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