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JEE Main Math Class 12 Application of Derivatives Part 3 Questions

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Question : 4

Total: 40

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]

only (I) is true.
only (II) is true.
neither (I) nor (II) is true.
both (I) and (II) are true.

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