I have a function such as cos(x/y) and values for x and y and want to use automatic differentiation (a la wikipedia article <https://en.wikipedia.org/wiki/Automatic_differentiation#Automatic_differentiation_using_dual_numbers>) to find the value and derivatives with respect to x and y. Can this be done easily in Sage, preferably using interval arithmetic?
I was hoping for an object that I could use something like this: sage: A.<dx, dy> = AutomaticDifferentiationField(RDF, 2) sage: x = 2.0 + dx sage: y = 3.0 + dy sage: f = cos(x,y) sage: f 0.785887260776948 -0.303099142275227 * dx + 0.137415511793275 * dy sage: f.value() 0.785887260776948 sage: f.derivatives() [-0.303099142275227, 0.137415511793275] And replacing RDF by RIF and setting x = RIF(1.99, 2.01) + dx, y = ... would do it over interval arithmetic then. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
