For , which of the following lists all -values at which the graph of has a point of…

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

Problem

For

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

, which of the following lists all

x

-values at which the graph of

f

has a point of inflection? (a)

x=\pm1

only (b)

x=0,\;\pm\sqrt{3}

(c)

x=\pm\sqrt{3}

only (d) The graph of

f

has no points of inflection.