If y = x^x, dy/dx will be: Option 1: x^x Option 2: x^x(1 + x) Option 3: x^x-1 Option 4: x^x+1

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

CUET Mathematics - If y = x^x, dy/dx will be: | PYQs + Solutions

CUET Mathematics 2023 23 May Shift 3

Calculus

Easy

$x^x$

$x^x(1 + \log x)$

$x^{x-1}$

$x^{x+1}$

✅ Correct Option: 2

Related questions:

22 May Shift 3

Match List - I with List - II.

	List - I		List - II
(A)	$x = 2at^2, y = at^4$	(I)	Inverse trignometric function
(B)	$f(x) = (2x + 3)^3$	(II)	Implicit function
(C)	$xy + y^2 = \tan(x + y)$	(III)	Parametric function
(D)	$y = \tan^{-1}\left(\frac{3x - x^3}{1 - 3x^2}\right), -\frac{1}{\sqrt{3}} < x < \frac{1}{\sqrt{3}}$	(IV)	Composite function

Choose the correct answer from the options given below :

14 May Shift 1

If the function $f(x) = \begin{cases} \frac{k\cos x}{\pi - 2x} & : x \neq \frac{\pi}{2} \\ 3 & : x = \frac{\pi}{2} \end{cases}$ is continuous at $x = \frac{\pi}{2}$ , then $k$ is equal to

3 June Shift 2

If $x^m y^n = (x + y)^{m+n}$ , then $\frac{d^2y}{dx^2}$ is equal to:

CUET Mathematics 2023 23 May Shift 3 PYQs

Keyboard Shortcuts