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- Assertion: If f(x) is a differentiable function, then the derivative of f(x) exists at every point in its domain. Reason: The differentiability of a function gu
- #Class 12
- #Maths
- #Limit , continuity and differentiability
- #Engineering
- #Joint Entrance Examination Main
Assertion: If f(x) is a differentiable function, then the derivative of f(x) exists at every point in its domain.
Reason: The differentiability of a function guarantees the existence of its derivative at every point in its domain
Both assertion and reason are true, and the reason is a correct explanation of the assertion.
Both assertion and reason are true, but the reason is NOT a correct explanation of the assertion.
The assertion is true, but the reason is false.
The assertion is false, but the reason is true.
Answers (1)
Differentiability of a function guarantees the existence of its derivative at every point in its domain, which is a fundamental property of differentiable functions.
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