Solved Problems for Derivatives: Implicit And Parametric Functions

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• Problem: Find the tangent line at the point (0,2) to the curve given by the implicit equation

  x⁴ − 4xy + y ⁴ = 16.

• Problem: Sketch the graph of the parametric curve given by
  x(t) = t³ − 9t,
  y(t) = (1/9)t⁴ − 2t² + 9   for t real.