A) \[\frac{3}{2}\]
B) \[\frac{3}{(4t)}\]
C) \[\frac{3}{2(t)}\]
D) \[\frac{3t}{2}\]
Correct Answer: B
Solution :
\[\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{3{{t}^{2}}}{2t}=\frac{3}{2}t=\frac{3}{2}\sqrt{x}\Rightarrow \frac{{{d}^{2}}y}{d{{x}^{2}}}=\frac{3}{4\sqrt{x}}=\frac{3}{4t}\].
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