Automatic Differentiation on CoCalc

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from ad import adnumber
from ad.admath import *  # sin(), etc.

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import ad
ad.__version__

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x = adnumber(1)
print(2*x + 1)

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sin(2*x)

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

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y = sin(2*x)
y.d(x)  # dy/dx at x=1

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y.d2(x)  # d2y/dx2 at x=1

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z = adnumber(3.141592)
y2 = sin(z)
y2.d(z) # dy/dx1 at approximately pi

In [0]: