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Differential Calculus

Course: Differential Calculus > Unit 3

Lesson 9: Second derivatives
Math
Differential Calculus
Derivatives: chain rule and other advanced topics
Second derivatives
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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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