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Let for a differentiable function f0 fty arrow R fxfy geqsla: (Mathematics) | DivineJEE

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Mathematics

Exam

Mathematics

Let for a differentiable function

f:(0, \infty) \rightarrow \mathbf{R}, f(x)-f(y) \geqslant \log _{\mathrm{e}}\left(\frac{x}{y}\right)+x-y, \forall x, y \in(0, \infty)

. Then

\sum\limits_{n=1}^{20} f^{\prime}\left(\frac{1}{n^2}\right)

is equal to ____________.

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