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

  1. Implicit Differentiation.

  1. Chain Rule.

  1. What is for the function in part (a)? Write your answer in terms of only.

  2. Evaluate for the function in part (a).

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

  3. Write the equation of the tangent line at for function in part (a).

    The equation for the tangent line is .

  4. If the tangent line is used to approximate the function at , will it give an underestimate or an overestimate? Use part (f) to determine your answer.

    Is the graph concave up or concave down?