Ask Me Help Desk - How to prove the statement by using Rolle's Theorem?

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How to prove the statement by using Rolle's Theorem?

$f : [0,2] \rightarrow R$ , f differentiable on [0,2] and f(0) = 0

Prove that $\exists c \epsilon (0,2)$ so that $f'(c) = \frac{f(c)}{2-c}$ is true.

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