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Mathematics 12 Online
OpenStudy (anonymous):

Got some math questions here, calculus... heads up!

OpenStudy (anonymous):

Speak, young one

OpenStudy (anonymous):

The demand equation for soccer tournament T-shirts is xy−5,000=y where y is the number of T-shirts the Enormous State University soccer team can sell at a price of $x per shirt. Find dy/dx x=3

OpenStudy (anonymous):

xy-5000=y. y-xy = -5000. y(1-x) = -5000. y = -5000 / (1-x). Take the derivative of -5000/ (1-x). Then set x to 3.

OpenStudy (anonymous):

I feel like I tried that earlier cause that was my first guess, but let me try it again and see if it works

OpenStudy (anonymous):

2500 is incorrect

OpenStudy (anonymous):

oh wait I'm dumb

OpenStudy (anonymous):

didn't take the derivative

OpenStudy (anonymous):

I got it, thanks so much for your help!

OpenStudy (anonymous):

Derivative(-5000 / (1-x)) = -5000* Derivative(1/(1-x)) = -5000 * Derivative (1-x)^-1. Now apply the chain rule and you get -5000 * -1 * -1 * 1/(1-x)^2 = -5000 / (x-1)^2 = -5000 / 2^2 = 1250 is what I get.

OpenStudy (anonymous):

Oh you got it, cool.

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