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

7-6.

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

*and*

*.*

The derivative of

.

Implicit Differentiation.

Chain Rule.

Implicit differentiation. Solve for

.

Find

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

Find

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

.

Write the equation of the tangent line at

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

.

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

Is the graph concave up or concave down?