Sharedad.ipynbOpen in CoCalc

Automatic Differentiation on CoCalc

from ad import adnumber
from ad.admath import *  # sin(), etc.
import ad
ad.__version__
'1.3.2'
x = adnumber(1)
print(2*x + 1)
ad(3)
sin(2*x)
ad(0.9092974268256817)

So far, there shouldn’t be anything unexpected, but first and second derivatives can now be accessed through intuitive methods:

y = sin(2*x)
y.d(x)  # dy/dx at x=1
-0.8322936730942848
y.d2(x)  # d2y/dx2 at x=1
-3.637189707302727
z = adnumber(3.141592)
y2 = sin(z)
y2.d(z) # dy/dx1 at approximately pi
-0.9999999999997864