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 pi² is also a constant and hence its derivative is zero.
  
  
• x² 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(y²)/dx = cos(y²) d(y²)/dx
  
  

Apply the chain rule again to find d(y²)/dx.

I hope this helps,
Harley