If y = x^ x, then value of x^- x dy/dx - x x is : Option 1: x/x Option 2: x Option 3: x Option 4: x/x

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

CUET Mathematics - If y = x^ x, then value of x^- x dy/dx - x x is : | PYQs + Solutions

CUET Mathematics 2022 7 Aug Shift 2

Calculus

Medium

$\frac{\sin x}{x}$

$\sin x$

$\cos x$

$\frac{\cos x}{x}$

✅ Correct Option: 1

Related questions:

15 June Shift 2

The condition on a and b, such that for $y = \frac{a}{x} - \frac{b}{x^2}$ , $\frac{dy}{dx} = 0$ at $x=1$ is :

22 May Shift 2

If the function

$f(x) = \begin{cases} ax + 2, & x \leq 1 \\ x^2 + 3x + b, & x > 1 \end{cases}$

is differentiable at $x = 1$ , then the value of $(2a + b)$ is

14 May Shift 2

Match List-I with List-II

List-I	List-II
Function	Derivative
---	---
(A) $y = \sin^{-1} x + \sin^{-1} \sqrt{1 - x^2}; \vert x\vert < 1$	(I) $\frac{dy}{dx} = \frac{1}{2y-1}$
(B) $y = \sqrt{x + y}, x+y > 0 \text{ and } y \neq \frac{1}{2}$	(II) $\frac{dy}{dx} = 10^x \log_e 10$
(C) $y = \log_{10} x, x > 0$	(III) $\frac{dy}{dx} = 0$
(D) $y = 10^x$	(IV) $\frac{dy}{dx} = \frac{1}{x \log_e 10}$

Choose the correct answer from the options given below: