A) \[3{{x}^{2}}\]
B) \[\frac{3x}{2}\]
C) x
D) \[\frac{3}{2}\]
Correct Answer: B
Solution :
[b] \[U={{x}^{3}}\] \[\frac{dU}{dx}=3{{x}^{2}}...(1)\] \[V={{x}^{2}}\] \[\frac{dV}{dx}=2x....(2)\] From (1) and (2) \[\frac{dU}{dV}=\frac{3{{x}^{2}}}{2x}=\frac{3}{2}x\]
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