Define differentiability?

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+2 Mathematics Continuity and Differentiability

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df/dx=lim h->0 f(x+h)-f(x)/ h
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Differential means derivative has a unique value at that point. If a curve is smooth it has only one differential value and it is called differential.
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df/dx= lim f(x+h)-f(x)/ h at h->0.
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