Consider the following statements in respect of the function f(x)= x : 1. f(x) increases in the interval (0, ). 2. f(x) decreases in the interval ( 5 2 , 3 ). 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 : 1. increases in the interval . 2. decreases in the interval . Which of the above statements is/are correct?

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

Answer: (B)

Solution

. Statement 1: In , so increases, but in , so decreases. Thus does not increase on the whole of ;

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Question ID VK-033585