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SmoothMath Group TitleBest ResponseYou've already chosen the best response.2
The integral of that curve, f' over any interval will tell you the increase or decrease of f. If it's area above the axis, that's an increase of f. If it's area below the axis, that's a decrease of f. The important places to check f are the endpoints and wherever f' is 0.
 2 years ago

TransendentialPI Group TitleBest ResponseYou've already chosen the best response.0
Also since is the graph of the derivative, look at the zeros and where this graph of the derivative changes from a + to a neg (Like Smoothmath said) Don't forget the initial value also.
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.0
haha... that looks like a sample AP exam question...
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.2
Yup. I'm teaching AP calc at the moment, and I just gave my students this problem as review before the AP test.
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.0
the test is this Wednesday?
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.2
Haha yes.
 2 years ago

CalculusInt Group TitleBest ResponseYou've already chosen the best response.0
When I added the negative and positive values I came up with: 206+4=18, then I added the initial 2, but that gives me 20 and it says the answer is 22
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.2
That's the integral over the WHOLE interval, which means it ends up there, at 20. Perhaps it gets further at an earlier time?
 2 years ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.0
that's because the question is asking what is the maximum f will get in the interval. your answer is at the end of the interval.
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.2
Look at other intervals and ask yourself where the partical is at those times.
 2 years ago

CalculusInt Group TitleBest ResponseYou've already chosen the best response.0
Wait is it 22 because the largest area is 20 and adding the initial 2 gives 22 as the answer?
 2 years ago

CalculusInt Group TitleBest ResponseYou've already chosen the best response.0
@SmoothMath @dpaInc
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.2
Oh, sorry it didn't notify me. Yeah, it's 22. You need to check at each value that the derivative is 0.
 2 years ago

CalculusInt Group TitleBest ResponseYou've already chosen the best response.0
So I just find the largest value where the derivative is 0 and add the initial value on, right?
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.2
dw:1336438693557:dw
 2 years ago

SmoothMath Group TitleBest ResponseYou've already chosen the best response.2
Notice the points that I checked f at. The endpoints, and every point where f'=0.
 2 years ago

CalculusInt Group TitleBest ResponseYou've already chosen the best response.0
So, just 20+2?
 2 years ago

CalculusInt Group TitleBest ResponseYou've already chosen the best response.0
Thank you!
 2 years ago
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