We have dealt with explicit function — a function that have its dependent variable (e.g. y) isolated on one side of the equation. — But now, with out isolating the dependent variable, we will have the ability to dealt with implicit function.
a function are those where the dependent variable (e.g. y) is not isolated on one side of the equation.
$$ x^2+y^2=25 $$
a function that have its dependent variable (e.g. y) isolated on one side of the equation.
$$ y=\sqrt {25-x} $$
As you can see, those two can be interchangeable, however, it takes more steps to have the function into its explicit form.
So…
finding the derivative of a function with respect to x. Terms with a "y,"you will apply the chain rule, assuming "y" is defined implicitly as a differentiable.
So we basically take the derivative of of both side, then isolate the derivative that we want to find to one side -just like with the transformation of implicit function to explicite functions- we solve for the derivative.