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OpenStudy (diamondboy):
Hi
OpenStudy (diamondboy):
Do u have a text?
OpenStudy (anonymous):
Like answers?
OpenStudy (diamondboy):
like a text book
OpenStudy (anonymous):
Its online but I have the answer choices
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OpenStudy (diamondboy):
ok then since u cant check it
OpenStudy (diamondboy):
f(-3) must equal f(1), it must be differentiable ion the interval (-3,1) and continuous on the interval [-3,1]
OpenStudy (zzr0ck3r):
Now take the derivative and set it equal to \(0\).
OpenStudy (anonymous):
Thank you! When I derive it I get 2x+2=0
OpenStudy (anonymous):
Then x=-1
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OpenStudy (zzr0ck3r):
correct
OpenStudy (zzr0ck3r):
They are not showing you why rolls theorem is important.
For this problem you could have simply took the derivative and set it equal to 0 and then saw that -1 was indeed between -3 and 1.
The real reason for Roll's theorem is sometimes it is not so easy to take the derivative of the function. But we need to know if it becomes zero, and we then can use Roll's theorem without taking the derivative