5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph. 10 W 10 -10 -10

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
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5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph.
-10
W
-10
--10-
10
Transcribed Image Text:5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph. -10 W -10 --10- 10
d. Sketch the graph of f(x) on the interval (-9, 9) if f(0)=0. Show the analysis that leads to your graph.
Transcribed Image Text:d. Sketch the graph of f(x) on the interval (-9, 9) if f(0)=0. Show the analysis that leads to your graph.
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Solve b,c,d on the paper!!

For d, you need to sketch the graph!!

5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph.
-10
W
-10
10
-10-
b. For what values of x does f(x) have a relative maximum? Explain.
C.
Determine the open intervals where the graph of f(x) is concave downwards. Show the analysis that leads to
your conclusion.
d. Sketch the graph of f(x) on the interval (-9, 9) if f(0)=0. Show the analysis that leads to your graph.
Transcribed Image Text:5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph. -10 W -10 10 -10- b. For what values of x does f(x) have a relative maximum? Explain. C. Determine the open intervals where the graph of f(x) is concave downwards. Show the analysis that leads to your conclusion. d. Sketch the graph of f(x) on the interval (-9, 9) if f(0)=0. Show the analysis that leads to your graph.
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