Are you differentiating with respect to y or with respect to x?
Overall, in order to solve the problem you have to have knowledge of what is known as Implicit Differentiation
I am having trouble understanding how to work out this question, which is x(x+y)-e^y =y^2
I have been given the working out, of which the first line is (x+y)+x(1+y^1)-e^y *y^1=2yy^1
Really not to sure what rules they used to get from a to b, so if anyone could share, that would be most appreciated
Do you mean you want to differentiate x with respect to y or y with respect to x? The first is what you said but what you give would be correct if by "y^1" you mean the derivative of y with respect to x, normally written as y'. Solve for y'.