Math 125 Test 2 5 points each Feb 16, 2005
Differentiate, (means
find yÕ(x).
1. y = sin 3x
2. y = csc (x/4)
3. 
4. y = tan Ãx
5. 
6. y = x2 sin
x
7. 
8. y = sin2 (x2)
9. y = cos 3x sin 2x
10. 
11. Find y Ô(x) = dy/dx if x cos y = 1
12. Find the equation of the tangent line
tox cos y = 1 at the point (2, ¹/3).
13 - 20. Related Rate Problem: There are 8 steps. Each step is worth 5 points.
A girl is reeling in her kite string at
4ft/second. If the kite is
travelling along remaining at the same altitude of 40 ft above the ground as it
is being reeled in, how fast is it moving horizontally at the instant the
string is 50 ft long?
Bonus: 10 points each
1. Do you really understand the
definition of a derivative? Here's
a test to see! Given that Dx
(ex) = ex,
if f(x) = ex, then what can you conclude about the following
limit ?
= ?
2. Do you really understand the rules for exponents? Do you really understand the
chain rule? Here's a test to
see! Find y ' (x) if
