|
1
|
Term
|
Differentiated term
|
Term
|
Differentiated term
|
|
|
a
|
x4
|
4x3
|
h
|
 |
 |
|
b
|
2x6
|
12x5
|
i
|
 |
20x4 + 4x
|
|
c
|
x21
|
21x20
|
j
|
(2x − 3)2
|
8x -12
|
|
d
|
5x5
|
25x4
|
k
|
3x(2x − 6)
|
12x -18
|
|
e
|
3x2 + 3x
|
6x + 3
|
l
|
(x + 3)(x − 5)
|
2x − 2
|
|
f
|
2x2 + 5x + 6
|
4x + 5
|
m
|
4(x − 2)2
|
8x − 16
|
|
g
|
2(x − 4)
|
2
|
n
|
x2(x2 − 2x − 9)
|
4x3 − 6x2 − 18x
|
2. a. f ' (x) = 12x2 − 10x + 8
b. 
= 50x9 − 30x4 + 3
c. g ' (x) = 2x − 5
d. = 3x2 − 4x − 24
|
3.
|
Term
|
Differentiated term
|
Term
|
Differentiated term
|
|
|
a
|
x-3
|
-3x -4
|
f
|
 |
 |
|
b
|
 |
 |
g
|
 |
 |
|
c
|
 |
 |
h
|
 |
 |
|
d
|
 |
 |
i
|
 |
 |
|
e
|
 |
 |
j
|
 |
 |
4. a. 
b. 
c. g '(x) = 
d. = 3
