If x = t^3, y = t^2 then d^2y/dx^2 is equal to: Option 1: -1/t^2 Option 2: 1/2t^3 Option 3: -1/t^3 Option 4: -2/9t^4

The answer is '-2/9t^4'. View full solution:

CUET Mathematics - If x = t^3, y = t^2 then d^2y/dx^2 is equal to: | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Calculus

Medium

applied

$\frac{-1}{t^2}$

$\frac{1}{2t^3}$

$\frac{-1}{t^3}$

$\frac{-2}{9t^4}$

✅ Correct Option: 4

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$\begin{array}{|l|l|} \hline \rule{0pt}{2.8ex}\text{List-I} & \text{List-II} \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(A) } f(x) = |x| & \text{(I) Not differentiable at } x=-2 \text{ only} \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(B) } f(x) = |x+2| & \text{(II) Not differentiable at } x=0 \text{ only} \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(C) } f(x) = |x^2-4| & \text{(III) Not differentiable at } x=2 \text{ only} \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(D) } f(x) = |x-2| & \text{(IV) Not differentiable at } x=2,-2 \text{ only} \\[1.2ex] \hline \end{array}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 21 May Shift 2 PYQs

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