Math 125 Test 2 4 points each Feb 19, 2004
Differentiate, (means
find yÕ(x).
1. y = 4
2. y
= x
3. y = 4x2 - 5
4. y = sin 3x
5. y = csc (x/4)
6. y = tan Ãx
7.
8.
9. y = x2 sin x
10. y = x + cot x
11.
12.
13.
14. y = sin2 (x2)
15. y = cos 3x sin 2x
______________________
16. Find y Ô = dy/dx
x3 y2
- y = x
___________________________________
17. Find the equation of the tangent line
to
x cos y = 1 at the point (2, ¹/3).
____________________________________
18. Find for x2 - y2
= 16
__________________________________
19. Find f(4) if
___________________________________
20. Find the point(s) at which has a horizontal tangent line.
Bonus: 10 points
1.
If you are given that if f(x) = ex, then f ' (x) = ex,
what can you conclude about the limit
?