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Differentiability at a Point
A function $$f(x)$$ is differentiable at $$x=a$$ if:
$$f'(a)=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}$$
exists as a finite value.
Usage
- Used to check whether a function has a derivative at a particular point.
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Differentiability at a Point
A function $$f(x)$$ is differentiable at $$x=a$$ if:
$$f'(a)=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}$$
exists as a finite value.
Usage
- Used to check whether a function has a derivative at a particular point.
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