For differentiable function f: (0, ∞) → R, if f(x) - f(y) ≥ logₑ… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 27 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

For differentiable function $f$ : $(0, \infty) \to R$ , if $f(x) - f(y) \geq \log_e \left(\frac{x}{y}\right) + x - y$ , find $\sum f'\left(\frac{1}{n^2}\right)$ from $n=1$ to $20$ .

A
$2890$
B
$2900$
C
$3000$
D
$3200$

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