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Theorem 3 says differentiability at a point implies:

AA maximum there
BA zero slope on
CContinuity there
DConstancy there
Answer & Solution
Correct answer: C. Continuity there
1. The theorem links the two central ideas. 2. One property is stronger than the other. 3. Differentiability at c implies continuity at c. 4. So the answer is continuity there. _Source: syllabus Mathematics, Ch 5 'Continuity and Differentiability'_
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