Let f be differentiable on R with f(0) = 0. Show that there are numbers t1, t2,..., t2022 with 0 < t1 <1 1< t2 < 2 2021 < t2022 < 2022 so that f'(t1) + f'(t2) + ·..+ f'(t2022) = f(2022).

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