WRITE CODE IN PYTHON please.

Automatic differentiation of polynomials. Realize it in this way. Use the 'input' function to get a polynomial and a x value (which means two 'input' functions in your program). An input polynomial should have a form of - a*x**n + b*x**(n-1)+... + constant 3*x**2 + 2*x +1 7.1*x**3+12.345*X** 0 5.3 * x ** 10 - 8.0 * x ** 1_-256 * x It shouldn't contain any variables except x. (The coefficients a, b,... and the exponent n in the above form must be just numbers. Exponents must be nonnegative integers.) You must not allow any parentheses in the input polynomial.- Use the methods of string type and the type conversion functions to calculate the output differentiation value.- Your program must be able to handle strange inputs by using the 'try-except-else' structure.-Test your program with your inputs. Add comments describing your test results