Question

Find dy/dx by implicit differentiation and evaluate the derivative at the given point x^3+y^3=4xy+1 point: (2,1)

Answer 1

x^3+y^3=4xy+1
do implicit differentiation:
3x^2 + 3y^2y' = 4(xy' + y)
Gather up the y' and solve for y'

Answer 2

I got it, it's 8/5 :)

Answer 3

yes!