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OpenStudy (anonymous):
for the following function find
A all critical numbers
Bt he open intervals on which f is increasing and decreasing
C all relative extrema
OpenStudy (anonymous):
3x^3+9x^@-72x
OpenStudy (anonymous):
Derive the function!
OpenStudy (anonymous):
9x^@+18x-72
OpenStudy (anonymous):
divide all the terms by 9
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OpenStudy (anonymous):
1+2-8
OpenStudy (anonymous):
x^2+2x-8
OpenStudy (anonymous):
graph that
OpenStudy (anonymous):
nothing happened
OpenStudy (anonymous):
it curved up
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OpenStudy (anonymous):
OpenStudy (anonymous):
Critical points are when the graph hits 0 so at x=-4,2
OpenStudy (anonymous):
And -4 is a relative max and 2 is a relative minimum
OpenStudy (anonymous):
so the critcal number is -4.2
OpenStudy (anonymous):
-4 and 2
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OpenStudy (anonymous):
thank you once again i really appreciate all the help
OpenStudy (anonymous):
No problem =)
OpenStudy (anonymous):
one thing i got a question the say used the first derivative test to determine the open intervals . do i just do the derivatives and put it to zero to get the answer
OpenStudy (anonymous):
You have to explain the positive negative thing
OpenStudy (anonymous):
can you help me with this question also . this is actually the last one sorry