The value of C which satisfies Rolle's Theorem for f(x) = ^4 x + ^4 x in [0, /2]. Then C is : Option 1: /5 Option 2: /3 Option 3: /4 Option 4: /6

The answer is '/4'. View full solution:

CUET Mathematics - The value of C which satisfies Rolle's Theorem for f(x) = ^4 x + ^4 x in [0, /2]. Then C is : | PYQs + Solutions

CUET Mathematics 2023 15 June Shift 2

Calculus

Medium

$\frac{\pi}{5}$

$\frac{\pi}{3}$

$\frac{\pi}{4}$

$\frac{\pi}{6}$

✅ Correct Option: 3

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If $x = -1$ and $x = -2$ are the extreme points of $f(x) = \alpha\log|x| + \beta x^2 + x$ then

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If $f(x) = x^2 - 4x + 13, x \in \mathbb{R}$ , then which of the following are correct?

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$f(x)=\sin x+\frac{1}{2} \cos 2 x \text { in }\left[0, \frac{\pi}{2}\right]$

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(B) The critical points of the function are $x=\frac{\pi}{6}$ and $x=\frac{\pi}{2}$

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