Question

x^3+y^3=6xy

(4/3, 8/3)
find slope

Answer 1

Take the derivative, That makes find the slope very simple

Answer 2

Are you asked to find the slope at that point? BTW, do you know how to take a derivative or a polynomial?

Answer 3

I don't really understand derivatives. That's where the problem starts

Answer 4

The slope at that point

Answer 5

I'll take the derivative for you, could you double check your equation?

Answer 6

x^3+y^3=6xy

Answer 7

alright, the derivative is (x^2-2y)/(2x-y^2), now just plug in the point you have and that will give you the slope of the lline at that point.

Answer 8

I'm getting the slope to be 4/5

Answer 9

How do you get to the derivative though?

Answer 10

What math class/ level are you in?

Answer 11

You just do implicit differentiation. This is because y is part of the equation and it can't be isolated.

Answer 12

high school calculus

Answer 13

Have you done derivatives, or implicit differentiation?

Answer 14

working n implicit

Answer 15

Do you know how to start? Take the derivative dy/dx(x^3+y^3)=d/dx(6xy)