Question

question

Answer 1

@marcelie

Answer 2

yeah so basically an equation f(x,y) = 0 defines y implicitly as a function of x. the domain of that function consist of those x for which there is a unique y such that f(x,y) = 0

Answer 3

oh okay thats when you use dy/dx right ?

Answer 4

yeah i'm still trying to figure this out. i think it's when you take the derivative and the solutions are such that x,y = 0

Answer 5

oh okay is that when you have two equations = to each other and do dy/dx for y's ?

Answer 6

so let's look at the equation of a circle.

and c is a constant.

\[x^{2}+y^{2}= c \]

Answer 7

first thing we do is take the derivative of both sides

Answer 8

\[\frac{ dy }{ dx }*x^{2}+\frac{ dy }{ dx }y = \frac{ dy }{ dx}*c\]

the derivative of a constant is zero.

\[\frac{ dy }{ dx }*x^{2}+\frac{ dy }{ dx }y = 0\]

Answer 9

hmm would it look something like this ?