Got some math questions here, calculus... heads up!
Speak, young one
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
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.
I feel like I tried that earlier cause that was my first guess, but let me try it again and see if it works
2500 is incorrect
oh wait I'm dumb
didn't take the derivative
I got it, thanks so much for your help!
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.
Oh you got it, cool.
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