I have this little script to derive implicitly
$PrePrint = # /. {D[y_, x_, NonConstants -> {y_}] :> y'[x]} &;
Example:
D[x == y^3 + x y, x, NonConstants -> y]
1 == y + x y'[x] + 3 y^2*y'[x]
and then, to obtain the expression for y'[x]
, I use
Solve[1 == y + x y'[x] + 3 y^2*y'[x],y'[x]] //FullSimplify
How can I get all these steps in one line?
I'd like to have something like
$PrePrint = # /. {D[y_, x_, NonConstants -> {y_}] :> y'[x]} &; //Solve...
Dt[]
. $\endgroup$ – J. M.'s ennui♦ Jul 6 '15 at 0:56