Calculus
Test 2 Review Sheet
Name: ______________________________
Show ALL work to receive full credit. Completely simplify answers unless otherwise
indicated.
1. Find y ¢ if y =
(
x2 + 2 x
(9 points)
x3
)(
)
2. Given C (q ) = q -3 - q -4 7 q1 3 + q 5 , determine C ¢(q ) using the product rule.
Do not simplify your answer.
(10 points)
3. Use the Quotient Rule to find
Do not simplify your answer.
dy
10e 5 x
given y =
dx
57 x
(10 points)
4. Find the velocity when t = 2 if the position of a particle is modeled by the
1350
function s (t ) =
where s is the number of meters traveled after t seconds.
3
t2 +1
(11 points)
(
5. Find
)
(
dy
given y = tan sin 3 x
dx
)
(14 points)
6. Find
dy
from x 2 + y 2 = 4 y - 7 x + e 2 x
dx
7. Determine y ¢¢ if you know y = 3 x cos 5 x
(12 points)
(14 points)
8. Find lim
sin 2 5q
q®0
9. Find
(
(10 points)
2q 2
d
sin -1 x
dx
)
(10 points)