If x = 4t and y = 4/t, then d^2y/dx^2 is Option 1: -1/t^2 Option 2: 2/t^3 Option 3: 1/2t^3 Option 4: 8/t^3

The answer is '1/2t^3'. View full solution:

Calculus > Continuity & Differentiability

Medium

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If $x = 4t$ and $y = \frac{4}{t}$, then $\frac{d^2y}{dx^2}$ is

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

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

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

$\frac{8}{t^3}$

✅ Correct Option: 3

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Match List-I with List-II

Choose the correct answer from the options given below: