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- Implicit differentiation 5 answers
When we trying to differentiate a function $y=f(x)$, we are actually finding the rate of change of $y$. But what do we exactly mean by differentiating both sides of the equation, say $x^2+y^2=1$, with respect to $x$?
Another question is that we know that some functions are not differentiable, is it true that there are also some equations that cannot be differentiated on both sides with respect to $x$? If yes, what are the conditions? If no, why not?