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Home Q & A Board Science-Related Homework Help Mathematics Calculus
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Catracho Catracho
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4 years ago Edited: 4 years ago, bio_man
Let A(x) = ∫ f(t) dt, with f(x) shown in the graph below.

At what x values does A(x) have a local max: x
At what x values does A(x) have a local min: x

Restrict your answers to values 0 < x < 6
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Educator
4 years ago
Okay, look at when f'(x) = 0 on your graph.

It happens at:

x=1 --- the behavior is decreasing, therefore Local maximum

x=3 --- the behavior is increasing, therefore local minimum

x=5 --- the behavior is decreasing, therefore local maximum

See the following for further documenation
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