JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 27 January 2024, Shift 1, Maths Q23

Question 23 of 90 in this shift, Maths question 23 of 30, Section B.

Let for a differentiable function

f:(0,\infty)\to\mathbf{R}

f(x)-f(y)\geq \log_e\left(\dfrac{x}{y}\right)+x-y

\forall x, y\in(0,\infty)

. Then

\sum_{n=1}^{20}f'\left(\dfrac{1}{n^2}\right)

is equal to ________.

Official answer

2890

NTA final key.