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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: NCERT Class 12 Mathematics, Ch 5 'Continuity and Differentiability'_
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