I suppose this is implicit differentiation... The problem:

find yprime given $\displaystyle {e^{x^2}} + y^6 = {2x(cos(y))} $

so I then simplified it to

$\displaystyle {2e^{x^2}} + 6y^5 * (dy/dx)= 2{cos(y)}{2x(-sin(y))}(dy/dx) $

Is this okay? Are there any errors, or can I move forward and work the algebra?