Answers to Test 2 Review Questions 1.
Answers to Test 2 Review Questions
1. (a) 
(b) 
(c) 
(d) 
(e) 
(f) 
(g) 
(h) 
(i) 
(j) 
(k) y = (cos x)2x
(l) 
(m) y’ = 
(n) y’ = 3e2x(5sec2 5x + 2tan 5x) (I factored to simplify)
2. (a) 
(b) 
(g) 
(h) 
(l) 
(m) 
3. (a) 16 (b) 120 (c) 20 (d) 8 (e) -20/243
(f) 26/9 (g) 12 (h) undefined
4. (a) 
(b) 
5
Derivative is:
The derivative does exist at
x =1 because whether you go toward 1 from the left or the right, both “pieces” of the derivative function get close to 3.
.
6. 
and 
7. 
8. At 
units per second
9. 7/50 rad/min
10. 533.33 ft/min or 1600/3 ft/min
