Thread: find dy/dx by implicit differentiation

1. find dy/dx by implicit differentiation

find dy/dx by implicit differentiation

x^2-2xy+y^3=c

2. Originally Posted by thecount
find dy/dx by implicit differentiation

x^2-2xy+y^3=c
implicit differentiation is just the chain rule, where the derivative of y is dy/dx. just take the derivative of that equation

if x is a function of y, and c is a constant:

2x - 2x*dy/dx - 2y + 3y^2*dy/dx = 0

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

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