# 'Integer' object is not callable error when it doesn't appear as though I'm calling an integer

I have a cell where I'm trying to make a recursive function to shortcut Newton's Method, and it appears to be written properly, but I keep getting the error shown above

%auto
#don't call this, it's an internal function that the main one calls for its recursion step
def newtonsMethodRecursiveCall(func, deri, start, iters):
if iters == 0:
return start - (func(start) / deri(start))
else:
r = newtonsMethodRecursiveCall(start, func, deri, iters-1)
return r - (func(r) / deri(r))

# Recursive function to perform Newton's Method to the nth degree
def newMet(func, vari, start, iters = 10):
deri(vari) = derivative(func, vari, 1)
return (newtonsMethodRecursiveCall(func, deri, start, iters))


when I tested with

tf(x) = x^2 - 2
newMet(tf, x, 1)


it gave me the error.

I don't see anywhere that should indicate that I would be calling an integer, I thought I'd checked all of the names to make sure they were undefined before attempting to call them as a function

as a side note, I don't care if there's already a function for what I'm doing, I wanted to try to write one myself using the definition of newton's method

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Your function has argument order func, deri, start, iters but you are calling it with start, func, deri, iters... By changing it I got

sage: newMet(tf, x, 1.)
1.41421356237310


which looks like $\sqrt{2}$.

more

ah that must have been the problem then, I restructured it and forgot to fix the rest