Practice Problems
Work through the odd-numbered problems 1-55. Once you have completed the problem set, check your answers.
(b) The point is on the bottom half of the circle so
11. so, differentiating each side, and .
At is undefined (the tangent line is vertical).
13. . Differentiating each side, and . At At .
At is undefined (vertical tangent line).
23. Using implicit differentiation, so .
29. From problem so when and .
Substituting into the original equation, we have
If (point A), then . Point is .
If (point C), then . Point is .
31. From the solution to problem 29, point is .
Substituting into the original equation, we have
If (point D), then . Point is . Point B is .
and this is the same as in part (a). (Really it is).
(b) . so and this is the same as in part (a).
55. On your own.