### Home > APCALC > Chapter 7 > Lesson 7.1.1 > Problem 7-6

7-6.

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

*and*

*.*

Implicit Differentiation.

Chain Rule.

What is

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

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

.Write the equation of the tangent line at

for function in part (a).The equation for the tangent line is

.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?