How do you differentiate (x-y) using implicit differentiation?

maphco
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I looked through my notes and couldn't figure out how to differentiate

(x - y)

using implicit differentiation. Could someone help with that and I should be able to work out the rest of my question :)
 
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Just a thought now, would it be

1 - dy/dx

?
 
i think you are correct
its

1-y'
 
Why couldn't it be dx/dy-1? You need to state what you are differentiating wtih respect to.
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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