Find all -values where the graph of has an inflection point.

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

Problem

Find all

x

-values where the graph of

g(x)=x^{4}-4x^{2}

has an inflection point. (a)

x=\pm\sqrt{2}

(b)

x=0

only (c)

x=\pm\sqrt{\dfrac{2}{3}}

(d)

x=\pm\sqrt{\dfrac{3}{2}}