Identify Points of Non-Differentiability on a Graph

Math Problem Statement

solve

At which points is the function below not differentiable?

To determine where the function is not differentiable, look for points where there are sharp corners, cusps, vertical tangents, or discontinuities.

From the graph, the function is not differentiable at:

Thus, the function is not differentiable at $x = -3$ and $x = 2$ .

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Calculus
Differentiability
Graphical Analysis

Differentiability conditions: continuous and smooth curve (no corners, cusps, vertical tangents, or discontinuities)

Differentiability implies continuity

Grades 11-12

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