Question

Find the slope

Answer 1

of what?

Answer 2

implicit diff right?

Answer 3

partial derivative

Answer 4

isn't that the same? partial wrt x?
\[\frac{2x+2yy'}{\sqrt{4x+4y}}+\frac{y'}{\sqrt{2xy}}=0\]?

Answer 5

it's multiple variable function, so it needs to be taken wrt x and y.

i'm not worried about taking the partial derivative, i just want to know the process of getting the slope when it comes to multivariable function