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Mathematics 8 Online
OpenStudy (anonymous):

max & min

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

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):

\[\large \frac{d}{dx} (-8x^2 +5x+6) = 5 - 16x\]

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.

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]

OpenStudy (anonymous):

why isnt it 3?

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