Let . Using the average rate of change of on the interval , which of the following is…

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

Problem

Let

f(x)=e^{0.5x}

. Using the average rate of change of

f

on the interval

[2,2.01]

, which of the following is the best numerical estimate for the instantaneous rate of change of

f

x=2

? (a)

1.39

(b)

2.72

(c)

1.36

(d)

1.27

Related theory

Derivative Foundations

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