It's been a while since I've had to do derivations so I'm just a little rusty. I need to understand the steps for deriving (Py – 2)(44 – 2Py + Px) to reach Py = 12 + 0.25Px. Py here is price of product y and Px is the price of product x.I undertsant that I need to take product rule of the first equation and then set it = 0 and solve for Py, but it's finding that derived equation that's troubling me.How I tried to do it was to first simplify the equation into 44Py - 2Py^2 + PxPy - 88 + 4Py + 2Px. Then taking the derivative and simplifying a little I end up with 46 - 3Py + Px which I would then set = 0 and solve for Py, giving me Py = (46 + Px)/3. Which is obviously not correct.If you could help me through the steps to reach Py = 12 + 0.25Px I would be very greatful.

Question

It&#039;s been a while since I&#039;ve had to do derivations so I&#039;m just a little rusty. I need to understand the steps for deriving (Py – 2)(44 – 2Py + Px) to reach Py = 12 + 0.25Px. Py here is price of product y and Px is the price of product x.I undertsant that I need to take product rule of the first equation and then set it = 0 and solve for Py, but it&#039;s finding that derived equation that&#039;s troubling me.How I tried to do it was to first simplify the equation into 44Py - 2Py^2 + PxPy - 88 + 4Py + 2Px. Then taking the derivative and simplifying a little I end up with 46 - 3Py + Px which I would then set = 0 and solve for Py, giving me Py = (46 + Px)/3. Which is obviously not correct.If you could help me through the steps to reach Py = 12 + 0.25Px I would be very greatful.

kejohananws · Accepted Answer

The derivative of your simplified expression is  48  −  4      P    y    +      P    x    .I think you made two mistakes: an algebra error, so you ended up with 46 instead of 48, and forgetting that the derivative of   −  2      P    y    2   is   −  4      P    y  .

It's been a while since I've had to do derivations so I'm just a little rusty. I need to understand

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