The function is defined by for and

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

Problem

The function

p

is defined by

p(x)=\dfrac{x^{2}-1}{x-1}

for

x\ne 1

and

p(1)=2

. Determine

p'(1)

. (a)

0

(b)

2

(c)

1

(d) The derivative does not exist at

x=1

Related theory

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

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