Mathematics

Problem

Consider the function

h(x)=\dfrac{1}{x}

defined on

(-\infty,0)\cup(0,\infty)

. Which of the following statements is correct? a)

h

has a local minimum at

x=1

. b)

h

has neither a local maximum nor a local minimum anywhere in its domain. c)

h

has a local maximum at

x=-1

. d)

h

has a local maximum at

x=1