Let alpha in R. prove that a function...

Let `alpha in R`. prove that a function `f: R-R` is differentiable at `alpha` if and only if there is a function `g:R-R` which is continuous at `alpha` and satisfies `f (x) -f(alpha) = g (x) (x-alpha), AA x in R.`

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The correct Answer is:

`x = alpha`

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