Name :
Score :
Teacher :
Date :
Differentiation Tables
Use differentiation rules to solve each problem.
1)
u
f(u)
f '(u)
g(u)
g'(u)
-7
-8
7
-9
-3
-1
6
-9
4
2
2)
v
f(v)
f '(v)
g(v)
g'(v)
-3
6
-9
-5
1
5
-7
8
-7
3
-7
-6
-3
3
-6
-5
-4
7
6
-2
f(v)
Given h(v) = _____
, find h'(-5).
3g(v)
Given h(u) = 8f(u) - 5g(u), find h'(-3).
3)
a
f(a)
f '(a)
g(a)
g'(a)
-1
6
5
-8
2
7
-4
-4
-1
3
4)
x
f(x)
f '(x)
g(x)
g'(x)
-5
-4
-1
5
9
-9
-4
-7
0
4
-6
-4
3
8
-6
3
-5
8
7
6
Given h(a) = 2f(a) + 7g(a), find h'(2).
5)
k
f(k)
f '(k)
g(k)
g'(k)
-7
-2
-4
7
5
-5
-1
-5
-3
1
Given h(x) = f(x) • g(x), find h'(0).
6)
h
f(h)
f '(h)
g(h)
g'(h)
5
-4
-8
-9
-5
7
-5
9
-6
-7
3
1
2
4
2
5
-3
-1
-4
-6
Given h(k) = f(k) + g(k), find h'(5).
Given h(h) = f(h) + g(h), find h'(5).
Math-Aids.Com
Calculus Worksheets
Name :
Score :
Teacher :
Date :
Differentiation Tables
Use differentiation rules to solve each problem.
7)
m
f(m)
f '(m)
g(m)
g'(m)
-9
5
-7
-1
-3
7
-4
-6
4
2
8)
n
f(n)
f '(n)
g(n)
g'(n)
1
5
8
-5
8
-2
-9
9
1
5
1
-4
6
8
-3
8
7
-3
-8
-7
f(m)
Given h(m) = _____
, find h'(-3).
g(m)
9)
Given h(n) = 6f(n) • g(n), find h'(5).
r
f(r)
f '(r)
g(r)
g'(r)
-4
8
-8
-3
-3
-2
6
1
7
-1
10)
f
f(f)
f '(f)
g(f)
g'(f)
9
-4
3
4
6
-5
2
1
6
2
9
-2
-6
-3
3
-2
5
-4
-4
1
Given h(r) = 4f(r) + 7g(r), find h'(1).
11)
s
f(s)
f '(s)
g(s)
g'(s)
9
-8
8
-4
-5
4
6
-4
-3
-6
Given h(f) = 5f(f) • g(f), find h'(-2).
12)
t
f(t)
f '(t)
g(t)
g'(t)
1
1
-2
-1
-8
-3
9
3
6
-6
-7
1
-4
9
-1
-8
-9
6
3
9
f(s)
Given h(s) = _____
, find h'(-5).
2g(s)
Given h(t) = f(t) - g(t), find h'(1).
Math-Aids.Com
Calculus Worksheets
Name :
Score :
Teacher :
Date :
Differentiation Tables
Use differentiation rules to solve each problem.
1)
3)
5)
u
f(u)
f '(u)
g(u)
g'(u)
-7
-8
7
-9
-3
-1
6
-9
4
2
2)
v
f(v)
f '(v)
g(v)
g'(v)
-3
6
-9
-5
1
5
-7
8
-7
3
-7
-6
-3
3
-6
-5
-4
7
6
-2
Given h(u) = 8f(u) - 5g(u), find h'(-3).
f(v)
Given h(v) = _____
, find h'(-5).
3g(v)
h'(-3) = 8
17
h'(-5) = __
54
a
f(a)
f '(a)
g(a)
g'(a)
-1
6
5
-8
2
7
-4
-4
-1
3
4)
x
f(x)
f '(x)
g(x)
g'(x)
-5
-4
-1
5
9
-9
-4
-7
0
4
-6
-4
3
8
-6
3
-5
8
7
6
Given h(a) = 2f(a) + 7g(a), find h'(2).
Given h(x) = f(x) • g(x), find h'(0).
h'(2) = -57
h'(0) = 36
k
f(k)
f '(k)
g(k)
g'(k)
-7
-2
-4
7
5
-5
-1
-5
-3
1
6)
h
f(h)
f '(h)
g(h)
g'(h)
5
-4
-8
-9
-5
7
-5
9
-6
-7
3
1
2
4
2
5
-3
-1
-4
-6
Given h(k) = f(k) + g(k), find h'(5).
Given h(h) = f(h) + g(h), find h'(5).
h'(5) = 8
h'(5) = -7
Math-Aids.Com
Calculus Worksheets
Name :
Score :
Teacher :
Date :
Differentiation Tables
Use differentiation rules to solve each problem.
7)
9)
11)
m
f(m)
f '(m)
g(m)
g'(m)
-9
5
-7
-1
-3
7
-4
-6
4
2
8)
n
f(n)
f '(n)
g(n)
g'(n)
1
5
8
-5
8
-2
-9
9
1
5
1
-4
6
8
-3
8
7
-3
-8
-7
f(m)
Given h(m) = _____
, find h'(-3).
g(m)
Given h(n) = 6f(n) • g(n), find h'(5).
-1
h'(-3) = __
3
h'(5) = -336
r
f(r)
f '(r)
g(r)
g'(r)
-4
8
-8
-3
-3
-2
6
1
7
-1
10)
f
f(f)
f '(f)
g(f)
g'(f)
9
-4
3
4
6
-5
2
1
6
2
9
-2
-6
-3
3
-2
5
-4
-4
1
Given h(r) = 4f(r) + 7g(r), find h'(1).
Given h(f) = 5f(f) • g(f), find h'(-2).
h'(1) = 17
h'(-2) = 105
s
f(s)
f '(s)
g(s)
g'(s)
9
-8
8
-4
-5
4
6
-4
-3
-6
12)
t
f(t)
f '(t)
g(t)
g'(t)
1
1
-2
-1
-8
-3
9
3
6
-6
-7
1
-4
9
-1
-8
-9
6
3
9
f(s)
Given h(s) = _____
, find h'(-5).
2g(s)
Given h(t) = f(t) - g(t), find h'(1).
7
h'(-5) = __
27
h'(1) = 2
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Calculus Worksheets