Name :
Score :
Teacher :
Date :
Differentiation Tables
Use differentiation rules to solve each problem.
1)
s
f(s)
f '(s)
g(s)
g'(s)
-5
8
-8
3
-6
4
5
3
-4
9
2)
d
f(d)
f '(d)
g(d)
g'(d)
7
1
-7
-3
4
-2
6
1
4
5
9
-6
3
-5
-5
-5
-9
6
1
-1
f(s)
Given h(s) = _____
, find h'(3).
4g(s)
3)
2
Given h(d) = (f(d)) , find h'(-5).
a
f(a)
f '(a)
g(a)
g'(a)
-2
-5
-3
5
-6
-2
6
-4
2
9
4)
c
f(c)
f '(c)
g(c)
g'(c)
-9
1
-1
-4
-6
2
-6
4
-8
3
-9
-5
7
-2
-8
-1
4
-8
1
1
f(c)
Given h(c) = _____
, find h'(-1).
8g(c)
Given h(a) = 8f(a) + 3g(a), find h'(-4).
5)
m
f(m)
f '(m)
g(m)
g'(m)
-5
-3
-4
7
1
-7
3
2
5
8
2
6)
k
f(k)
f '(k)
g(k)
g'(k)
6
3
-5
2
5
9
-1
4
6
-6
-4
8
-7
1
-9
1
1
-9
3
-2
Given h(m) = (f(m)) , find h'(2).
Given h(k) = f(g(k)), find h'(1).
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Calculus Worksheets
Name :
Score :
Teacher :
Date :
Differentiation Tables
Use differentiation rules to solve each problem.
7)
f
f(f)
f '(f)
g(f)
g'(f)
3
3
1
2
-4
-2
-7
0
-9
9
8)
u
f(u)
f '(u)
g(u)
g'(u)
-3
-4
8
-8
1
9
-6
4
1
2
-7
-5
-6
-4
8
-8
-3
5
6
-2
Given h(f) = 7f(f) - 6g(f), find h'(0).
9)
w
f(w)
f '(w)
g(w)
g'(w)
-8
-7
7
-6
-5
9
5
-4
6
3
Given h(u) = f(g(u)), find h'(-4).
10)
x
f(x)
f '(x)
g(x)
g'(x)
-4
-8
-9
4
6
2
1
-9
3
5
-5
9
3
-8
8
2
-2
7
3
-1
Given h(w) = 8f(w) • g(w), find h'(-4).
11)
n
f(n)
f '(n)
g(n)
g'(n)
-3
-5
-9
3
-1
-3
-1
3
4
9
Given h(x) = 5f(x) - 3g(x), find h'(2).
12)
h
f(h)
f '(h)
g(h)
g'(h)
2
4
6
-8
-7
-7
6
-4
6
-9
2
4
9
8
-7
-7
-3
1
-5
-2
Given h(n) = 8f(n) • g(n), find h'(-3).
Given h(h) = 6f(h) + 4g(h), find h'(4).
Math-Aids.Com
Calculus Worksheets
Name :
Score :
Teacher :
Date :
Differentiation Tables
Use differentiation rules to solve each problem.
1)
3)
5)
s
f(s)
f '(s)
g(s)
g'(s)
-5
8
-8
3
-6
4
5
3
-4
9
2)
d
f(d)
f '(d)
g(d)
g'(d)
7
1
-7
-3
4
-2
6
1
4
5
9
-6
3
-5
-5
-5
-9
6
1
-1
f(s)
Given h(s) = _____
, find h'(3).
4g(s)
Given h(d) = (f(d)) , find h'(-5).
-13
h'(3) = ___
20
h'(-5) = -108
2
a
f(a)
f '(a)
g(a)
g'(a)
-2
-5
-3
5
-6
-2
6
-4
2
9
4)
c
f(c)
f '(c)
g(c)
g'(c)
-9
1
-1
-4
-6
2
-6
4
-8
3
-9
-5
7
-2
-8
-1
4
-8
1
1
Given h(a) = 8f(a) + 3g(a), find h'(-4).
f(c)
Given h(c) = _____
, find h'(-1).
8g(c)
h'(-4) = 48
-3
h'(-1) = __
2
m
f(m)
f '(m)
g(m)
g'(m)
-5
-3
-4
7
1
-7
3
2
5
8
2
6)
k
f(k)
f '(k)
g(k)
g'(k)
6
3
-5
2
5
9
-1
4
6
-6
-4
8
-7
1
-9
1
1
-9
3
-2
Given h(m) = (f(m)) , find h'(2).
Given h(k) = f(g(k)), find h'(1).
h'(2) = 80
h'(1) = -4
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Calculus Worksheets
Name :
Score :
Teacher :
Date :
Differentiation Tables
Use differentiation rules to solve each problem.
7)
9)
11)
f
f(f)
f '(f)
g(f)
g'(f)
3
3
1
2
-4
-2
-7
0
-9
9
8)
u
f(u)
f '(u)
g(u)
g'(u)
-3
-4
8
-8
1
9
-6
4
1
2
-7
-5
-6
-4
8
-8
-3
5
6
-2
Given h(f) = 7f(f) - 6g(f), find h'(0).
Given h(u) = f(g(u)), find h'(-4).
h'(0) = 15
h'(-4) = -63
w
f(w)
f '(w)
g(w)
g'(w)
-8
-7
7
-6
-5
9
5
-4
6
3
10)
x
f(x)
f '(x)
g(x)
g'(x)
-4
-8
-9
4
6
2
1
-9
3
5
-5
9
3
-8
8
2
-2
7
3
-1
Given h(w) = 8f(w) • g(w), find h'(-4).
Given h(x) = 5f(x) - 3g(x), find h'(2).
h'(-4) = 192
h'(2) = 38
n
f(n)
f '(n)
g(n)
g'(n)
-3
-5
-9
3
-1
-3
-1
3
4
9
12)
h
f(h)
f '(h)
g(h)
g'(h)
2
4
6
-8
-7
-7
6
-4
6
-9
2
4
9
8
-7
-7
-3
1
-5
-2
Given h(n) = 8f(n) • g(n), find h'(-3).
Given h(h) = 6f(h) + 4g(h), find h'(4).
h'(-3) = -296
h'(4) = -76
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