CUET CUET Mathematics 2024 - f(x)= x+1/2 2 x in [0, /2] (A) f^(x)= x- 2 x (B) The critical points of the function are x=/6 and x=/2 (C) The minimum value of the function is 2 (D) The maximum value of the function is 3/4 Choose the correct answer from the options given below : | PYQs + Solutions

CUET Mathematics 2024

Calculus

Application of Derivatives

Easy

$f(x)=\sin x+\frac{1}{2} \cos 2 x \text { in }\left[0, \frac{\pi}{2}\right]$
(A) $f^{\prime}(x)=\cos x-\sin 2 x$
(B) The critical points of the function are $x=\frac{\pi}{6}$ and $x=\frac{\pi}{2}$
(C) The minimum value of the function is $2$
(D) The maximum value of the function is $\frac{3}{4}$
Choose the correct answer from the options given below :

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only

Correct Option: 1

Will be added.

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