Where is a graph not differentiable?
Understand the Problem
The question is asking for locations on a graph where it fails to be differentiable. This typically occurs at points where there are sharp corners, cusps, vertical tangents, or discontinuities in the function. Understanding these concepts will help in identifying such points.
Answer
Where the graph has vertical tangents, discontinuities, corners, or cusps.
The final answer is where the graph has vertical tangents, discontinuities, corners, or cusps.
Answer for screen readers
The final answer is where the graph has vertical tangents, discontinuities, corners, or cusps.
More Information
A function is not differentiable if its graph has vertical tangents, discontinuities, corners (sharp bends), or cusps. These points are where the derivative fails to exist.
Sources
- 6.3 Examples of non Differentiable Behavior - ocw.mit.edu
- Differentiable vs. Non-differentiable Functions - Calculus - Socratic - socratic.org
- What are some examples of non-differentiable functions? - Vedantu - vedantu.com
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