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Discuss implicit differentiation with higher-order derivatives. Respond to the following questions. Why is implicit differentiation necessary in order to find derivatives of curves which do

Discuss implicit differentiation with higher-order derivatives. Respond to the following questions.

  • Why is implicit differentiation necessary in order to find derivatives of curves which do not represent functions?
  • Come up with your own implicitly defined function. What is its first, second, and third derivative?

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