Question

find the derivative of f(x)= (4x^2+4y^2)^2−4x^2y =16128 at point (4,4), regarding y as the independent variable and x as as the dependent variable

Answer 1

I got -1/2 as my answer but the software says am wrong

Answer 2

my calculus is sort of rusty, and i'm doing it all by hand, soo... i power ruled the f(x) implicitly in terms of d/dy and ended up with an ugly fraction <shruggs> not sure if Im heloing but here it is..\[\frac{-(64xy + 64y^3)}{ (64x^3 + 128y^2 - 4x^2) }\]