For the function f(x)= \sin x+3 x-\frac{2}{\pi} (x^2+x) \text{, where } x \in [0, \frac{\pi}{2}] \text{, } consider the following two statements : (I) {\f} is increasing in (0, \frac{\pi}{2}). (II) {\f}^{'} is decreasing in (0, \frac{\pi}{2}). Between the above two statements, [5 Apr 2024 Shift 1]

Correct Answer is : both (I) and (II) are true.

Application of Derivatives Part 2

Section: Mathematics

Question : 1 of 100

Marks: +1, -0

For the function
f(x)=sin‌x+3x−‌

(x2+x)‌, where ‌x∈[0,‌

]‌, ‌
consider the following two statements :
(I) f is increasing in (0,‌

).
(II) f′ is decreasing in (0,‌

).
Between the above two statements,

[5 Apr 2024 Shift 1]

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