If y = x^(x x) then dy/dx = ? Option 1: x^x x Option 2: x^(x x)[ x + x] Option 3: x^(x x)[ (1 + x) + x x x] Option 4: x^(x x)[ x + x x x]

The answer is 'x^(x x)[ (1 + x) + x x x]'. View full solution:

CUET Mathematics - If y = x^(x x) then dy/dx = ? | PYQs + Solutions

CUET Mathematics 2023 23 May Shift 3

Calculus

Medium

$x^{x \cos x}$

$x^{(x \sin x)}[\sin x + \sin \log x]$

$x^{(x \sin x)}[\sin (1 + \log x) + x \log x \cos x]$

$x^{(x \sin x)}[\sin \log x + x \log x \cos x]$

✅ Correct Option: 3

Related questions:

16 July Shift 2

Match List I with List II

List I	List II
A. If $f(x) = 2x$ and $g(x) = \frac{x^2}{2} + 1$ , then $\frac{g(x)}{f(x)}$ is	I. discontinuous at exactly three points.
B. The function $f(x) = \frac{4-x^2}{4x-x^3}$ is	II. continuous everywhere
C. The function $f(x) =	x
D. The function $f(x) =	\sin x

Choose the correct answer from the options given below:

27 May Shift 1

If $x = a\sec^3 \theta$ , $y = a \tan^3 \theta$ , then $\frac{d^2y}{dx^2}$ equals.

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If $x = t^{1/2}$ , $y = t^{3/2}$ , then $\frac{dy}{dx}$ =