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easy by hand but difficult with SageMath

Hi

Easy by hand but difficult (for me !) with SageMath how to get this equation dth==X*dty/r^2-Y*dtx/r^2 from the code below with SageMath ?

var('theta,X,Y,r')
var('dth',latex_name=r"\partial {\theta}")
var('dtx',latex_name=r"\partial {x}")
var('dty',latex_name=r"\partial {y}")

eqL=[]
eq0=r^2==X^2+Y^2
theta=atan(Y/X)
dthX=derivative(theta,X)*dtx
dthY=derivative(theta,Y)*dty
eq1=dth==dthX+dthY
show("dthY : \t ", dthY," \t dthX : \t ",dthX," \t dth : \t ",eq1)

 2 None slelievre 16999 ●21 ●151 ●335 http://carva.org/samue...

easy by hand but difficult with SageMath

Hi

Easy by hand but difficult (for me !) with SageMath how to get this equation dth==X*dty/r^2-Y*dtx/r^2 from the code below with SageMath ?

var('theta,X,Y,r')
var('dth',latex_name=r"\partial {\theta}")
var('dtx',latex_name=r"\partial {x}")
var('dty',latex_name=r"\partial {y}")

eqL=[]
eq0=r^2==X^2+Y^2
theta=atan(Y/X)
dthX=derivative(theta,X)*dtx
dthY=derivative(theta,Y)*dty
eq1=dth==dthX+dthY
show("dthY : \t ", dthY," \t dthX : \t ",dthX," \t dth : \t ",eq1)