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Second derivatives (implicit equations)

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Problem

Let x, cubed, plus, y, squared, equals, 24.
What is the value of start fraction, d, squared, y, divided by, d, x, squared, end fraction at the point left parenthesis, 2, comma, 4, right parenthesis?
Give an exact number.
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
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