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.