The graph of is continuous and consists of two straight-line segments: one with slope for

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

Problem

The graph of

f

is continuous and consists of two straight-line segments: one with slope

5

for

x<2

and one with slope

-1

for

x>2

. The segments meet at the point

(2,4)

, forming a sharp corner. Describe the behavior of

f'(x)

x=2