The graph of a differentiable function passes through the points and

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

Problem

The graph of a differentiable function

f

passes through the points

(3.8,2.1)

and

(4.2,3.7)

. Assuming the tangent line at

x=4

is well approximated by the secant line through these points, which is the best estimate of

f'(4)

? (a)

5.33

(b)

4

(c)

2

(d)

-4

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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