Download Comparing Function and Derivs

Kuta Software - Infinite Calculus
Name___________________________________
Comparing a Function with its Derivatives
Date________________ Period____
Given the graph of f ( x), find the approximate graph of f ' ( x).
1)
2)
f(x)
−8
−6
−4
8
6
6
4
4
2
2
−2
A)
f(x)
8
2
4
6
8 x
−8
−6
−4
−2
−2
−2
−4
−4
−6
−6
−8
−8
A)
f '(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
B)
f '(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
C)
f '(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
D)
f '(x)
8
6
6
4
4
2
2
2
−2
4
6
8 x
−8 −6 −4 −2
2
−2
−4
−4
−6
−6
−8
−8
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4
6
8 x
4
6
8 x
4
6
8 x
f '(x)
8
−8 −6 −4 −2
8 x
−2
−4
D)
-1-
8 x
f '(x)
8
−8 −6 −4 −2
6
−2
−4
C)
6
f '(x)
8
−8 −6 −4 −2
4
−2
−4
B)
4
f '(x)
8
−8 −6 −4 −2
2
Worksheet by Kuta Software LLC
Given the graph of f ( x), find the approximate graph of f '' ( x).
3)
4)
f(x)
−8
−6
−4
8
6
6
4
4
2
2
−2
A)
f(x)
8
2
4
6
8 x
−8
−6
−4
−2
−2
−4
−4
−6
−6
−8
−8
A)
f ''(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
B)
f ''(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
C)
f ''(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
D)
f ''(x)
8
6
6
4
4
2
2
2
−2
4
6
8 x
−8 −6 −4 −2
2
−2
−4
−4
−6
−6
−8
−8
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4
6
8 x
6
8 x
6
8 x
4
f ''(x)
8
−8 −6 −4 −2
8 x
−2
−4
D)
-2-
8 x
f ''(x)
8
−8 −6 −4 −2
6
−2
−4
C)
6
f ''(x)
8
−8 −6 −4 −2
4
−2
−4
B)
4
f ''(x)
8
−8 −6 −4 −2
2
−2
4
Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus
Name___________________________________
Comparing a Function with its Derivatives
Date________________ Period____
Given the graph of f ( x), find the approximate graph of f ' ( x).
1)
2)
f(x)
−8
−6
−4
8
6
6
4
4
2
2
−2
A)
f(x)
8
2
4
6
8 x
−8
−6
−4
−2
−2
−2
−4
−4
−6
−6
−8
−8
*A)
f '(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
B)
f '(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
C)
f '(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
D)
f '(x)
8
6
6
4
4
2
2
2
−2
4
6
8 x
−8 −6 −4 −2
2
−2
−4
−4
−6
−6
−8
−8
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4
6
8 x
4
6
8 x
4
6
8 x
f '(x)
8
−8 −6 −4 −2
8 x
−2
−4
D)
-1-
8 x
f '(x)
8
−8 −6 −4 −2
6
−2
−4
*C)
6
f '(x)
8
−8 −6 −4 −2
4
−2
−4
B)
4
f '(x)
8
−8 −6 −4 −2
2
Worksheet by Kuta Software LLC
Given the graph of f ( x), find the approximate graph of f '' ( x).
3)
4)
f(x)
−8
−6
−4
8
6
6
4
4
2
2
−2
A)
f(x)
8
2
4
6
8 x
−8
−6
−4
−2
−2
−4
−4
−6
−6
−8
−8
A)
f ''(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
B)
f ''(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
*C)
f ''(x)
8
6
6
4
4
2
2
2
4
6
−2
8 x
−8 −6 −4 −2
2
−4
−6
−6
−8
−8
D)
f ''(x)
8
6
6
4
4
2
2
2
−2
4
6
4
6
8 x
6
8 x
6
8 x
4
f ''(x)
8
−8 −6 −4 −2
8 x
−2
−4
D)
8 x
8 x
f ''(x)
8
−8 −6 −4 −2
6
−2
−4
C)
6
f ''(x)
8
−8 −6 −4 −2
4
−2
−4
*B)
4
f ''(x)
8
−8 −6 −4 −2
2
−2
−8 −6 −4 −2
2
−2
−4
−4
−6
−6
−8
−8
4
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-2-
Worksheet by Kuta Software LLC