Derivative form

Is there any way to show result like this?

$text{in[ ]:}quad x^2 + y^2 = t^2 text{out[ ]:}quad 2xdx + 2ydy = 2tdt$

The reason of this asking is I want to show process of many form of derivative. anyway or using $dot{x}$ or $x’$ may be good as well.