4. Let g (a) = f(t) dt. where f is the function whose graph is shown. a. Use Part 1 of the Fundamental Theorem of Calculus to graph g. b. Find g (3) and g (3), and g' (3). c. Does g have a local maximum, a local minimum, or neither at x = 6? d. Does g have a local maximum, a local minimum, or neither at x = 9?

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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4. Let g(x) = f (t) dt. where is the function whose graph is shown.
a. Use Part 1 of the Fundamental Theorem of Calculus to graph g.
b. Find g (3) and g (3), and g' (3).
c. Does g have a local maximum, a local minimum, or neither at * = 6?
d. Does g have a local maximum, a local minimum, or neither at x = 9?
180
0
3
f
6
Transcribed Image Text:4. Let g(x) = f (t) dt. where is the function whose graph is shown. a. Use Part 1 of the Fundamental Theorem of Calculus to graph g. b. Find g (3) and g (3), and g' (3). c. Does g have a local maximum, a local minimum, or neither at * = 6? d. Does g have a local maximum, a local minimum, or neither at x = 9? 180 0 3 f 6
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