For , a tangent line drawn at passes through the point with . What is the value of…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

For

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

, a tangent line drawn at

x=c

passes through the point

(0,-1)

with

c>0

. What is the value of

c

? (a)

1

(b)

1+\sqrt{3}

(c)

\sqrt{3}-1

(d)

-2

Related theory

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