Consider the following statements in respect of the function f(x)=x^2+1 in the interval (1, 2) : 1. The maximum value of the function is 5. 2. The minimum value of the function is 2. Which of the above statements is/are correct?

NDA 2021 Mathematics question

Mathematics Application of Derivatives NDA 2021

Consider the following statements in respect of the function in the interval : 1. The maximum value of the function is 5. 2. The minimum value of the function is 2. Which of the above statements is/are correct?

(A)1 only
(B)2 only
(C)Both 1 and 2
(D)Neither 1 nor 2Correct

Answer: (D)

Solution

on , so is strictly increasing there and has no critical point inside the interval. The values 2 and 5 would be taken at and , but these end points are not included in the open

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Question ID VK-033693