please use python and NO PYTHON METHODS. only use basic lists, if/elif/else, for and while loops, and basic functions. thank you Write the function derive that accepts one input argument: a polynomial (represented by a list of floats). The function should derive the polynomial and return a new polynomial (a list of float). Here what you could do to implement this function: 1. If the size L of your input polynomial list p1 is less or equal to 1 , just return [0.0] 2. Initialize a new list p of containing the last L-1 float numbers of your input polynomial p1. 3. Scan this list from left to right: - Multiply the coefficients by the correct power index from the p1 polynomial. 4. Return the new list of float