I am confused how to derivative this...

Question

2y=x^2+siny

Answer 1

2 dy/dx = 2x + cosy dy/dx
2dy/dx - cosy dy/dx = 2x
dy/dx(2 - cosy) = 2x

dy/dx = 2x/(2 - cosy)

btw, the noun is "derivative"
the verb is "differentiate"

e.g.
Sissy differentiated the equation and found the derivative to be quite simple.