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Question: Answered & Verified by Expert
If \(y=\frac{A}{x}+B x^2\), then \(x^2 \frac{d^2 y}{d x^2}=\)
MathematicsDifferentiationWBJEEWBJEE 2011
Options:
  • A \(2 y\)
  • B \(y^2\)
  • C \(\mathrm{y}^3\)
  • D \(\mathrm{y}^4\)
Solution:
1797 Upvotes Verified Answer
The correct answer is: \(2 y\)
Hints: \(\frac{x^2 d^2 y}{d x^2}=2\left(A / x+B x^2\right)=2 y\)

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