1. Copy and complete the table by differentiating the given terms and expressions:
Term
|
Differentiated term
|
Term
|
Differentiated term
|
||
a.
|
x4
|
h.
|
|||
b.
|
2x6
|
i.
|
|||
c.
|
x21
|
j.
|
(2x − 3)2
|
||
d.
|
5x5
|
k.
|
3x(2x − 6)
|
||
e.
|
3x2 + 3x
|
l.
|
(x + 3)(x − 5)
|
||
f.
|
2x2 + 5x + 6
|
m.
|
4(x − 2)2
|
||
g.
|
2(x − 4)
|
n.
|
x2(x2 − 2x − 9)
|
2. Differentiate each of the following functions. Use appropriate notation.
a. f(x) = 4x3 − 5x2 + 8x − 12
b. y = 5x10 − 6x5 + 3x
c. g(x) = (x + 2)(x − 7)
d. y = x(x − 6)(x + 4)
3. Copy and complete the table by differentiating the given terms and expressions:
Term
|
Differentiated term
|
Term
|
Differentiated term
|
||
a.
|
x-3
|
f.
|
√x
|
||
b.
|
|
g.
|
|||
c.
|
h.
|
||||
d.
|
i.
|
||||
e.
|
j.
|
4. Differentiate each of the following functions. Use appropriate notation.
a.
b.
c.
d.