Question

find the derivative of 2(x^2 + y^2)^2 = 25(x^2 - y^2)

Answer 1

Make implicit derivative

Answer 2

that is:
2*2*(x^2+y^2)*(2x+2y*y') = 25*(2x-2y*y')

Answer 3

now just isolate y'

Answer 4

which one

Answer 5

y', isolate y' now

Answer 6

i kknow but there are 5 ys

Answer 7

im just kidding

Answer 8

Treat y' as another variable and you're trying to solve for it, doing simple algebra basically.

Answer 9

to isolate y, you must first solve the parentheses

Answer 10

@cleetus779 do you have any idea on what you're supposed to do?

Answer 11

yes, working it out, and came up with a slightly different answer than wolfram, algebraic mistake

Answer 12

got this after multiplying:
8x^3 + 8y^2x + 2yx^2(dy/dx) + 8y^3(dy/dx) = 50x + 50y(dy/dx)