Mathematics

Mathematics

Problem

Consider the function

h

whose first derivative is

h'(x)=x\,e^{-x^{2}}

for all real

x

. At which

x

–value(s) does the graph of

h

have a point of inflection? a)

x=0

only b)

x=\pm 1

c)

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

d) The graph of

h

has no points of inflection.

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