Mathematics

Problem

The function

h(x)=x^{5}-5x^{3}+4x

is defined for all real

x

. How many local maxima and how many local minima does

h

have? a)

1

local maximum and

2

local minima b)

1

local maximum and

1

local minimum c)

2

local maxima and

2

local minima d)

2

local maxima and

1

local minimum