The function is differentiable at but not at

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

Problem

The function

r(x)=\dfrac{2x-5}{x+3}

is differentiable at

x=0

but not at

x=-3

. Explain why.

Related theory

Continuity
Derivative Foundations
Differentiability
Differentiability of functions
Continuity and Differentiability

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