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okay i understand everything..... except how to find the minimum!

are you familiar with derivative?

i know they got the equation.
y=6x+(21000/x)

yes

or x

is there a way to do that without it?

without the graphing calculator?
or without having to do it manually?

by hand

no calculator

because the slope at the minimum point is zero

can you show me?

im doing it wrong, even on calculator :/ I'm not getting it.

\[\frac{1}{x} = x^{-1}\]

any questions?

@completeidiot derivative is fine :3

yeah 1/x?

im just pointing out the identity that allows you to use the "power" rule for derivatives

\[y= x^n\]
\[y' = nx^{n-1}\]

im not getting that. i got up to here:
y=6-21000/x^2 then set it to 0

then im lost

once you set it equal to zero
0=6-21000/x^2
just solve for x

6= 21000/x^2
x^2= 21000/6
x = sqrt {21000/6}

any other questions?
sorry for any confusion i may have caused

i got it=]

thanks!

no problem