Larson_Calculus_10e ch02sec05
MULTIPLE CHOICE
1. Find by implicit differentiation.
a.
b.
c.
d.
e.
2. Find by implicit differentiation.
a.
b.
c.
d.
e.
3. Find by implicit differentiation.
a.
b.
c.
d.
e.
4. Find by implicit differentiation given that .
a.
b.
c.
d.
e.
5. Find by implicit differentiation.
a.
b.
c.
d.
e.
6. Find by implicit differentiation.
a.
b.
c.
d.
e.
7. Find by implicit differentiation.
a.
b.
c.
d.
e.
8. Evaluate for the equation at the given point . Round your answer to two
decimal places.
a.
b.
c.
d.
e.
9. Find by implicit differentiation given that .
a.
b.
c.
d.
e.
10. Evaluate for the equation at the given point . Round your answer to two
decimal places.
a.
b.
c.
d.
e.
11. Find by implicit differentiation given that . Use the original equation to simplify
your answer.
a.
b.
c.
d.
e.
12. Evaluate for the equation at the given point . Round your
answer to two decimal places.
a.
b.
c.
d.
e.
13. Find the slope of the tangent line at the given point . Round your answer to two
decimal places.
a.
0.67
b.
2.00
c.
1.00
d.
1.67
e.
3.00
14. Find an equation of the tangent line to the graph of the function at the
point .The coefficients below are given to two decimal places.
a.
b.
c.
d.
e.
15. Find an equation of the tangent line to the graph of the function given below at the given
point.
(The coefficients below are given to two decimal places.)
a.
b.
c.
d.
e.
16. Use implicit differentiation to find an equation of the tangent line to the ellipse at
.
a.
b.
c.
d.
e.
17. Find in terms of x and y given that . Use the original equation to simplify your
answer.
a.
b.
c.
d.
e.
18. Find in terms of x and y.
a.
b.
c.
d.
e.
19. Find in terms of x and y given that
a.
b.
c.
d.
e.
20. Find in terms of x and y.
a.
b.
c.
d.
e.
21. Find the points at which the graph of the equation has a vertical or horizontal tangent line.
a.
There is a vertical tangent at but no horizontal tangents.
b.
There is a horizontal tangent at and a vertical tangent at .
c.
There is a horizontal tangent at but no vertical tangents.
d.
There is a horizontal tangent at and a vertical tangent at .
e.
There are no horizontal or vertical tangent lines.