Mathematics

Problem

For a twice-differentiable function

f

, suppose

f'(c)=0

and

f''(c)>0

for some real number

c

. Which of the following statements about the graph of

f

x=c

is most accurate? a)

x=c

is a point of inflection of

f

. b)

f

has a local minimum at

x=c

. c) The graph of

f

is increasing at

x=c

.},{ d)

f

has a local maximum at

x=c