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Differentiate each equation with respect to . Leave you answers in terms of only and .

  1.  The derivative of .

  1. Implicit Differentiation.

  1. Chain Rule.

  1. Implicit differentiation. Solve for .

  1. Find for part (a). Be sure to leave all parts in terms of y and x only.

     (answer to part (a)).

  1. Find  for part (a).

    Translation: Evaluate the 2nd-derivative (that you found in part (e)) at .

  1. Write the equation of the tangent line at for part (a).

    The equation for the tangent line is .

  1. Is the tangent line an over or under approximation? Use part (f) to determine your answer.

    Is the graph concave up or concave down?