Solving Implicit Functions: x(u^2)+v=y^3, 2yu-x(v^3)=4x

[mj1357]

Homework Statement

If x(u^2) + v=(y^3), 2yu - x(v^3)=4x. Find a) du/dx and b) dv/dx

Homework Equations

The Attempt at a Solution

Not sure if I am supposed to differentiate as is, or try and write u and v as functions of x and y. The answer is supposed to be:

a) ((v^3)-3x(u^2)(v^2)+4)/(6(x^2)-u(v^2)+2y)

b) (2x(u^2)+3(y^3))/(3(x^2)u(v^2)+y)

 

[lanedance]

so i assume v & u are both functions of x & y? ie u=u(x,y), v=v(x,y)

i would attempt to implicitly differentiate both equations, which will give you 2 eqns containing du/dx and dv/dx, then use them to solve for each