Differentiability Implies Continuity
If $$f(x)$$ is differentiable at $$x=a$$, then:
$$f(x)\text{ is continuous at }x=a$$
Usage
- A differentiability check can guarantee continuity, but continuity alone does not guarantee differentiability.
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Differentiability Implies Continuity
Differentiability Implies Continuity
If $$f(x)$$ is differentiable at $$x=a$$, then:
$$f(x)\text{ is continuous at }x=a$$
Usage
- A differentiability check can guarantee continuity, but continuity alone does not guarantee differentiability.
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