Question

Find the indicated derivative using implicit differentiation.
x2y − y2 = 4; dy/dx

Answer 1

you mean \[x^2y-y^2 = 4\] right?

Answer 2

yes sorry

Answer 3

its okay!
use the product rule for x^2y so you get \[x^2(dy/dx) + y(2x) - 2y(dy/dx) = 0\]

Answer 4

\[x^2(dy/dx)-2y(dy/dx) = -2xy\]

Answer 5

\[dy/dx(x^2 - 2y) = -2xy\]

Answer 6

understand so far?

Answer 7

yes, I was working in that direction but made a mistake.
I appreciate the help!!

Answer 8

no problem :)