Let be differentiable at with and

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

Problem

Let

f

be differentiable at

x=4

with

f(4)=6

and

f'(4)=-2

. Determine

\displaystyle \lim_{x\to 4}\frac{f(x)-6}{x-4}

. (a)

6

(b)

0

(c)

-2

(d)

2

Related theory

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

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