Consider the following statements in respect of the function f(x)=x+ 1 x : 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x=1 . Which of the above statements is/are corr

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Consider the following statements in respect of the function f(x)=x+ 1 x : 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x=1 . Which of the above statements is/are correct?

Quantrex Academy · Accepted Answer

Correct answer: A. 1 only

We have x+ 1 x -2 or x+ 1 x 2 Hence Local minimum value of f(x) is 2 and Local maximum value g(x) is -2 Hence statement 1 is correct.

Consider the following statements in respect of the function f(x)=x+ 1 x : 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x=1 . Which of the above statements is/are correct?

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