The expression dy/dx = x(cubed root(y)) gives the slope at any point on the graph of the function f(x) where f(2) = 8.
I am supposed to find
1. The equation of the tangent line to f(x) at point (2, 8).
2. An expression for f(x) in terms of x.
and 3.The domain of and minimum value of f(x).
I know how to separate differential equations and then find C, but I can't figure out how for this equation. Also, I'm not even sure if that's what it's asking! I'm really confused about this. Any help? I'd really appreciate it. Thanks!