- #1
pyroknife
- 613
- 4
Hey guys. I have a question regarding the differential operator d.
Say we have an equation d(Z+X*Y^2)=0
If we want to differentiate the expression in the parenthesis, are these the steps to follow?
d(Z+X*Y^2)=0
dZ+d(X*Y^2)=0
Apply product rule to the second term:
dZ+Y^2*dX+X*dY^2=0
Here is where I get confused. To simply the 3rd term (X*dY^2), is the simplification this:
2Y*X*dY or 2*X*dY?
Say we have an equation d(Z+X*Y^2)=0
If we want to differentiate the expression in the parenthesis, are these the steps to follow?
d(Z+X*Y^2)=0
dZ+d(X*Y^2)=0
Apply product rule to the second term:
dZ+Y^2*dX+X*dY^2=0
Here is where I get confused. To simply the 3rd term (X*dY^2), is the simplification this:
2Y*X*dY or 2*X*dY?