Hi Jacob,
Without further explanation I will assume you want dy/dx and that y is a function of x. Look at the individual terms.
 First pi is a constant, about 3.14, so pi^{2} is also a constant and hence its derivative is zero.
 x^{2} is easy to differentiate.
 3xy is 3x times some function of x that you don't know. If you knew y, say y = cos(x), then you could differentiate 3xy, since it would be 3x cos(x). The derivative, using the product rule, would be
d(3x cos(x))/dx = 3x d(cos(x))/dx + 3 cos(x).
Using the same logic
d(3xy) = 3x dy/dx + 3 y
 The procedure here is similar to the previous term. Using the chain rule
d(sin(y^{2})/dx = cos(y^{2}) d(y^{2})/dx
Apply the chain rule again to find d(y^{2})/dx.
I hope this helps,
Harley
