If x=_e t and y=1/t, then d^2y/dx^2 at t=0.1 is Option 1: 1 Option 2: 10 Option 3: 5 Option 4: 0

The answer is '10'. View full solution:

CUET Mathematics - If x=_e t and y=1/t, then d^2y/dx^2 at t=0.1 is | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 2

Calculus

Medium

applied

✅ Correct Option: 2

Related questions:

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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 :

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If the function $f(x)=\begin{cases}\frac{e^{2\log_e x^2}-1}{x-1}, & x\ne 1\\ a, & x=1\end{cases}$ is continuous at x=1, then the value of a is:

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Match List-I with List-II

List-I	List-II
(A) $f(x) = x \sin x$	(I) is not continuous at $x = -3$
(B) $f(x) = \frac{\vert x\vert }{x}, x \neq 0$ and $f(x) = 1 \text{ at } x = 0$	(II) is continuous everywhere
(C) $f(x) = x - [x]$ , $[x]$ denotes greatest integer function	(III) is not differentiable at $x = 1$
(D) $f(x) = e^{\vert x - 1\vert }$	(IV) is not continuous at $x = 0$

Choose the correct answer from the options given below: