We're learning about implicit differentiation in Calc (which I'm sure you've guessed by the title ^_^), and it isn't so bad. But I'm confused as to the process: take, for example, x^2 + y^2 = 25. Going by the rules I've learned, I come up with 2x+2yy'=0. All I was told was that whenever you take the derivative of the y value, you have to multiply it by y prime.
But why?
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