Consider the functions I. $e^{-x}$ II. $x^{2}-\sin x$ III.…

GATE · 2020 · CS · Computer Science & IT

Consider the functions

I. $e^{-x}$

II. $x^{2}-\sin x$

III. $\sqrt{x^{3}+1}$

Which of the above functions is/are increasing everywhere in [0, 1] ?

Attempted by 88 students.

Consider the functions I. \(e^{-x}\) II. \(x^{2}-\sin x\) III.…