The graph of a continuous function has a sharp corner at

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

Problem

The graph of a continuous function

f

has a sharp corner at

x=4

. The slope of the graph approaches

3

from the left of

x=4

and

-2

from the right. State whether

f'(4)

exists and briefly explain your conclusion in one sentence.