The second derivative of a twice-differentiable function satisfies for

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The second derivative of a twice-differentiable function

f

satisfies

f''(x)<0

for

x<4

f''(4)=0

, and

f''(x)>0

for

x>4

. Determine whether

x=4

is an inflection point of

f

and state the change in concavity.