Question

solve for the derivative og the folowing function implicitly

x^3 - xy + y^2 =7

help me to solve this guys.

Answer 1

@ayo123 help

Answer 2

ok, where dy/dx =y'
D(x^3 - xy + y^2) =D(7)
3x^2 - ((1)y + y' x) + 2y y' = 0
3x^2 - (y + y' x) + 2y y' = 0
3x^2 - y - y'x + 2yy' = 0

collecting like terms,
- y'x + 2yy'= y- 3x^2
y' (2y-x) = y- 3x^2
y' =(y- 3x^2) /(2y-x)

Answer 3

@ayo123its that it?

Answer 4

@ayo123 its that it|?

Answer 5

@Jhannybean

Answer 6

@iGreen help

Answer 7

@hartnn help

Answer 8

dy/dx = (3y - 2x) / (2y - 3x)