If a function is differentiable at a point, it is also:

Question

Accepted Answer

D. Continuous there

1. Differentiability is the stronger condition.
2. It cannot hold where the graph breaks.
3. So a differentiable function is continuous at that point.
4. The answer is continuous there.
_Source: syllabus Mathematics, Ch 5 'Continuity and Differentiability'_

Answer

Constant there

Answer

Increasing there

Answer

Undefined there

If a function is differentiable at a point, it is also:

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