The function is defined for all real

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

Problem

The function

g(x)=\arctan(x^{2}-1)

is defined for all real

x

. For which value of

x

does the tangent line to the graph of

g

have slope zero? (a)

x=1

(b)

x=\dfrac{1}{\sqrt{2}}

(c)

x=0

(d)

x=\sqrt{2}

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