find maximum and minimum values for the function g(x)=x^3-3x
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OpenStudy (aravindg):
@hartnn
hartnn (hartnn):
what u got as first derivative ?
OpenStudy (aravindg):
3x^2-3=0
x^2=1
x=1,-1
OpenStudy (aravindg):
should i take second derivative?
hartnn (hartnn):
correct.
here u can just put the values in g(x) and by inspection u can tell which is max
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hartnn (hartnn):
mathematically, u should take 2nd derivative...
OpenStudy (aravindg):
max at x=-1 and minimum at x=1
OpenStudy (aravindg):
bt then why we took second derivative in last qn?
hartnn (hartnn):
because we can't find the max or min just by putting the points and inspection, can we ?
OpenStudy (aravindg):
i see is my final answers ryt?
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OpenStudy (aravindg):
....
OpenStudy (aravindg):
u dr??
hartnn (hartnn):
sorry, got disconnected...yes, its correct
OpenStudy (aravindg):
one last qn and i am done ,,well for this qn i think i gt crct anser bt i want t o knw if i need to take second derivative
"find maximum and minimum value of 3x^4-8x^3+12x^2-48x+25
OpenStudy (aravindg):
,,,
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hartnn (hartnn):
yes, u need to..
OpenStudy (aravindg):
are answers 0 and 2?
hartnn (hartnn):
mim at x=2
OpenStudy (aravindg):
max at x=0 min at x=2 ryt?
hartnn (hartnn):
yes, both are correct..i had doubt with max at x=0
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OpenStudy (aravindg):
thanx a lot!!!! it really helped
cant tell u hw thankful i am !!