What Does Differentiability Mean

What Does Differentiability Mean - What is the definition of differentiability? If the left hand derivative and the right hand derivative at a point are equal. Some places define it as:

If the left hand derivative and the right hand derivative at a point are equal. What is the definition of differentiability? Some places define it as:

Some places define it as: If the left hand derivative and the right hand derivative at a point are equal. What is the definition of differentiability?

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Some Places Define It As:

If the left hand derivative and the right hand derivative at a point are equal. What is the definition of differentiability?

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