If m and n respectively are the number of local maximum and local minimum points of the function f(x) = _ 0 ^ x^ 2 (t^ 2 - 5t + 4)/(2 + e^ t ) dt, then the ordered pair (m, n) is equal to-

JEE Main 2022 Mathematics question

Mathematics Application of Derivatives JEE Main 2022

If m and n respectively are the number of local maximum and local minimum points of the function + 4)/(2 + ) dt, then the ordered pair (m, n) is equal to-

(1)(3, 2)
(2)(2, 3)Correct
(3)(2, 2)
(4)(3, 4)

Answer: (2)

Solution

+ 4)/(2 + − 4)/(2 + − 2)/(2 + ). The derivative

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Question ID VK-034512