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

The answer is 'x/(1+ x)^2'. View full solution:

CUET Mathematics - If x^y = e^x-y, then dy/dx = | PYQs + Solutions

CUET Mathematics 2022 17 Aug Shift 2

Calculus

Medium

$-\frac{\log x}{(1+\log x)^2}$

$\frac{\log x}{(1+\log x)^2}$

$-\frac{\log x}{1+\log x}$

$\frac{\log x}{1+\log x}$

✅ 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 :

13 May Shift 2

If $y = \cos^{-1}\left(\frac{1-x^2}{1+x^2}\right), 0 < x < 1$ , then $\frac{dy}{dx}$ is equal to

21 May Shift 1

If $x\sqrt{1 + y} + y\sqrt{1 + x} = 0$ , where $|x| < 1, |y| < 1$ and $x ≠ y$ , then