Calculus Maximus
WS 4.1B: Deriv Practice
Name_________________________________________ Date________________________ Period______
Worksheet 4.1B—Basic Differentiation Practice
Evaluate the following derivatives without using the product, quotient or chain rules. Many problems
will involve rewriting, like expanding, factoring, splitting up terms in the numerator, trig identities, etc.
Show all work, including rewrites and “clean ups.” Use Proper notation. Remember to simplify early and
often.
d
d
d
4
6
1.
2.
3.
x
3
x
4
x
2
x
3
dx
dx
dx
d
d
d
3
2
5
4.
5.
6.
5
x
2
r
x
2
2
x
1
dx
dr
dx
d
3
d
3 2
4
x
2 6
x
1
d
2
7.
12
x
8.
3 2
p
9.
dx
dp
dx
3 2
x
d
2
d
4
d
2
3
2
11.
12.
x
x
10.
4
x
x
1
2
dm
dx
x
dx
3
m
d
1
d
1
d
4
14.
7
2
15.
x
3
x
2
x
13.
2
ds
2
s
2
dx
3
dt t
Page 1 of 2