Mathematics
8 Online
OpenStudy (anonymous):
max & min
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OpenStudy (anonymous):
find the max of f(x)=8x^2 + 5x + 6
on the interval [-20,20].
OpenStudy (saifoo.khan):
it will be max? or min?
OpenStudy (anonymous):
my hw is on max and mins but this problem wants just the max
OpenStudy (saifoo.khan):
it can't be max though.
Coz the value of "a" is +ve.
which means a min point.
OpenStudy (anonymous):
o its supposed to be -8x^2+5x+6...
forgot the negative
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OpenStudy (saifoo.khan):
Yes!
Now to find the dy/dx. then equal that to zero.
Solve for x.
OpenStudy (saifoo.khan):
i just learned this yesterday!
OpenStudy (anonymous):
so -8x^2+5x+6=0
and solve to get the max?
OpenStudy (saifoo.khan):
min.
OpenStudy (saifoo.khan):
\[\large \frac{d}{dx} (-8x^2 +5x+6) = 5 - 16x\]
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OpenStudy (saifoo.khan):
After we find the derivative, set the equation equal to zero.
5 - 16x = 0
-16x = -5
x = 5/16
OpenStudy (anonymous):
i see
OpenStudy (saifoo.khan):
Now we have the "x" cordinate of the vertex.
OpenStudy (anonymous):
where do i go from here to get the max?
OpenStudy (saifoo.khan):
Now, after u have the value of "x". Substitute it in the original equation to get the value if y.
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OpenStudy (saifoo.khan):
of*
OpenStudy (anonymous):
oh yeah duh
OpenStudy (anonymous):
thanks saifooo
OpenStudy (saifoo.khan):
Welcome! :D
OpenStudy (anonymous):
i cant seem to find the min of a similar problem...
g(t)=t^3-9t+5 on interval [-1.5, 3]
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OpenStudy (anonymous):
why isnt it 3?