Question

Please help differentiate:
2 x^2 + 2 xy - 1 y^3 = 47

Answer 1

4x+ x(dy/dx)- 3(dy/dx)=0
is y supposed to be a function of x, aka f(x) or is it just a variable?

Answer 2

a function of x so we are trying to find dy/dx

Answer 3

4x+ x(dy/dx)- 3(dy/dx)=0 solve for dy/dx
4x = 3(dy/dx)-x(dy/dx)
4x = (dy/dx)(3-x)
4x/(3-x)=dy/dx

Answer 4

and how would you get dy/dx using implicit differentiation?

Answer 5

do you have an x value for which you want to find he point of tangency?

Answer 6

I do i just got it actually, thank you!