Create a function that differentiates a polynomial for a given value of `x`.

Your function will receive 2 arguments: a polynomial as a string, and a point to evaluate the equation as an integer.

## Assumptions:

* There will be a coefficient near each `x`, unless the coefficient equals `1` or `-1`.
* There will be an exponent near each `x`, unless the exponent equals `0` or `1`.
* All exponents will be greater or equal to zero

## Examples:

```python
differenatiate("12x+2", 3)      ==>   returns 12
differenatiate("x^2+3x+2", 3)   ==>   returns 9
```

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

def _disabled_input(*args, **kwargs):
    raise RuntimeError("input() is disabled in callable mode")
builtins.input = _disabled_input

ns = {"__name__": "__judge__"}  # prevent if __name__ == "__main__" blocks
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'def differentiate(equation, point):\n    #This can almost certainly be done waaaaay better with regex ...\n    \n    #Where are all the signs between terms?\n    signs = [i for i in range(len(equation)) if equation[i] in "+-"]\n    if not 0 in signs: signs = [0] + signs\n    \n    #Parse the coefficients and powers (all assumed integers)\n    coeffs = []\n    powers = []\n    for i in range(len(signs)):\n        if i+1 == len(signs):\n            term = equation[signs[i]:]\n        else:\n            term = equation[signs[i]:signs[i+1]]\n        if "^" in term:\n            i = term.index("^")\n            powers += [int(term.split("^")[1])]\n        elif "x" in term:\n            powers += [1]\n        if "x" in term:\n            c = term.split("x")[0]\n            if c in ["","+","-"]:\n                coeffs += [-1 if c == "-" else 1]\n            else:\n                coeffs += [int(c)]\n    return sum([c*p*point**(p-1) for c,p in zip(coeffs,powers)])\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

_target = None
_fn_name = 'differentiate'
if _fn_name:
    if "Solution" in ns:
        try:
            _obj = ns["Solution"]()
            if hasattr(_obj, _fn_name):
                _target = getattr(_obj, _fn_name)
        except Exception:
            _target = None
    if _target is None and _fn_name in ns and callable(ns[_fn_name]):
        _target = ns[_fn_name]
# Fallback: if there's exactly one user-defined function, use it
if _target is None:
    _cands = [v for k, v in ns.items() if callable(v) and getattr(v, "__module__", "") in ("__judge__", "__main__")]
    _user_funcs = [c for c in _cands if getattr(c, "__name__", "").startswith("_") is False]
    if len(_user_funcs) == 1:
        _target = _user_funcs[0]
if _target is None:
    raise RuntimeError(f"Could not resolve callable '{_fn_name}'")

_raw = sys.stdin.read().strip()
if _raw:
    _parsed = json.loads(_raw)
    if isinstance(_parsed, dict):
        _kwargs = _parsed.get("kwargs", {})
        _args = _parsed.get("args", [])
    else:
        _args, _kwargs = _parsed, {}
else:
    _args, _kwargs = [], {}
if not isinstance(_args, (list, tuple)):
    _args = [_args]
_res = _target(*_args, **_kwargs)
try:
    sys.stdout.write(repr(_res) + "\n")
except Exception:
    pass

```

Measured memory_bytes: 6656