If x = e^y + e^y + e^y + ∞, x > 0, then dy/dx is equal to Option 1: x/1+x Option 2: 1/x Option 3: 1-x/x Option 4: 1+x/x

The answer is '1-x/x'. View full solution:

CUET Mathematics - If x = e^y + e^y + e^y + ∞, x > 0, then dy/dx is equal to | PYQs + Solutions

CUET Mathematics 2022 30 Aug Shift 1

Calculus

Medium

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

$\frac{1}{x}$

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

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

✅ Correct Option: 3

Related questions:

16 May Shift 1

Match List-I with List-II

List-I	List-II
(Parametric equations)	$\left(\frac{dy}{dx}\right)$
(A) $x = \frac{2}{t}, y = 2t$	(I) $4t^2$
(B) $x = t^3, y = 3t + 2$	(II) $2(t+1)$
(C) $x = \log t, y = 2t^2$	(III) $-t^2$
(D) $x = e^t, y = 2te^t$	(IV) $t^{-2}$

Choose the correct answer from the options given below:

6 Aug Shift 2

If $x = \int_0^y \frac{dt}{\sqrt{1+9t^2}}$ and $\frac{d^2y}{dx^2} = \lambda y$ , then, $\lambda$ is equal to

30 May Shift 1

For what value of $\alpha$ , the function $f$ defined by $f(x) = \begin{cases} \alpha(x^2 - 2x + 1), & \text{if } x \leq 0 \\ 2x + 1, & \text{if } x > 0 \end{cases}$ is continuous at $x = 0$ ?

CUET Mathematics 2022 30 Aug Shift 1 PYQs

Keyboard Shortcuts