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If f(x) is continuous in [a, b] and diff...

If `f(x)` is continuous in [a, b] and differentiable in (a, b), prove that there is atleast one `c in (a, b)`, such that `(f'(c))/(3c^(2))= (f(b)-f(a))/(b^(3)-a^(3))`.

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The correct Answer is:
`(f'(c))/(3c^(2))=(f(b)-f(a))/(b^(3)-a^(3))`
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