Math 1100
Quiz 3
18 September, 2013
‘1<91
Name:
Instructions: Answer the questions below. Show all work clearly.
This quiz has two sides.
1. Find the derivative of each function.
(a)
f(x)= (2x+1)
I(
q7.4
Z1
(Zxi) ÷ (y4,).
+X1t(ZKf)
Zxf
2-i
2
(b)
g(x)
=
•2
-
2x
3x 1
—
(x•3
(3x_I)z
-
h(x)
k(): (WL+z’)
h’(
-
(L)t+)
.
=
14x2
+2
2. Let y+6x
.
2
(a) Find
2
y x
2
x
..4L= -2x
4
3
dx
J2x
(b) Find
ax2.
(c) Find
iY
3
ax
-Z x
3. Suppose the position of a particle is given by f(t)
(a) Find the velocity of the particle at t
(j3
=
1.
q
•ç ‘(
17(i) ‘—1
1
(b) Find the acceleration of the particle at t
f”ft)
t(()
(gZ
=
1.
=
1 + 4t.
3t