JEE Main 202427 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002Let for a differentiable function f:(0,∞)→R,f(x)−f(y)⩾loge(xy)+x−y,∀x,y∈(0,∞)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)f:(0,∞)→R,f(x)−f(y)⩾loge(yx)+x−y,∀x,y∈(0,∞). Then ∑n=120f′(1n2)\sum\limits_{n=1}^{20} f^{\prime}\left(\frac{1}{n^2}\right)n=1∑20f′(n21) is equal to ____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
