GATE | GATE CS 2020 | Question 11

Consider the functions I.

II.

III. Which of the above functions is/are increasing everywhere in [0, 1] ? (A) Ⅲ only (B) Ⅱ only (C) Ⅱ and Ⅲ only (D) Ⅰ and Ⅲ only
Answer:(A)
Explanation: If the derivative of a function is positive in given domain, then it is increasing function, else decreasing function. So, I.

II.

III. Therefore, only (III) is increasing everywhere in [0, 1]. Option (A) is correct.
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