A function satisfies for

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A function

h

satisfies

h''(x)<0

for

x<4

and

h''(x)>0

for

x>4

. Given that

h'(4)=0

, determine whether

x=4

corresponds to a relative maximum or a relative minimum of

h

and justify your answer in one sentence.