Consider the function defined on

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

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