Question

What is the dy/dx of x^5= -xy^3?

Answer 1

product rule and chain rule for this one

Answer 2

yeah mate i still don't undestand. i'm a bit lost

Answer 3

start with
\[5x^4=-(y^3+3xy^2y')\] and solve for \(y'\)

Answer 4

you are thinking that \(y=f(x)\) even though you have not solved for it
visualize it as
\[x^5=-xf^3(x)\]

Answer 5

I am coming up with -(6x^4 + y^3)/3xy^2

Answer 6

\[5x^4=-(y^3+3xy^2y')\] is the first step or
\[5x^4=-y^3-3xy^2y'\]

Answer 7

i think you just have a typo there with the \(6\)

Answer 8

otherwise your answer is right

Answer 9

-(5x^4 + y^3)/3xy^2 right?

Answer 10

looks good to me