Let be defined by for

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let

g

be defined by

g(x)=|x-2|

for

x\ne 1

, and

g

is not defined at

x=1

. Determine whether

g'(1)

exists and state the reason for your conclusion.

Related theory

Derivative Foundations
Differentiation from first principles
Euclid's axioms and postulates

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