Implicit differentiation on x^3 + y^3 = 4xy + 1

[the_ace]

1. use implicit differentiation to evaluate y(prime) for x^3+y^3=4xy+1 at the point (2,1)

 

[physicsnoob93]

An attempt please?

 

[the_ace]

(Y=y prime)
3x^2+3y^2Y=4y+4Y

 

[physicsnoob93]

Yes you are right. Now, solve for Y and sub in the coordinates.

 

[HallsofIvy]

The derivative of y with respect to x is more commonly wriitten as y', not "Y".