Use the numerical differentiation to compute the derivative of the function below: f(x) = 2x* – 4x² + x Given an arbitary value x = a, compute the derivative f' (x = a) with step size h using the central difference numerical approximation. ]: # Complete the function given the variables a,h and return the value as "fprime". ## Don't change the predefined content, only fill your code in the region "YOUR CODE" def derivative(a,h): '''Compute the difference formula for f'(a) with step size h. Parameters a : number Compute derivative at x = a h : number Step size in difference formula Step 1: define the function f(x) based on the given function above Step 2: use the central difference formula for calculating the f'(a) # your code here

Code in Python  Write a function, print_perfect_cubes(n), that takes an integer parameter n and prints the perfect cubes starting from 03 = 0 and ending with n3. When n is negative, the function prints nothing; but do not check for this condition with an "if" statement, it is unneccesary; use a for loop that will automatically print nothing when n < 0. Hint for choosing the right range for your for loop: In the general case, when n is not negative, your function will need to print n+1 different values.   For example: Test Result print_perfect_cubes(2) 0 1 8 print_perfect_cubes(5) 0 1 8 27 64 125 print_perfect_cubes(-10)

Python question, please us a docstring and have comments throughout code Write a function getInteger() that takes two integers num1 and num2 as parameters. If num1 > num2, then the function prints an error message and returns 0. If num1 is equal to num2, the function returns the common value. For cases where num1 < num2, the function prompts the user to enter an integer greater than or equal to num1 and less than or equal to num2 and returns the first valid integer that the user enters. If the user enters something that is not an integer value, the programs should display an error message and re-prompt the user to enter a valid integer Below are some sample executions of the function. Use the while and if-elif statements and a try/except in the solution. Don’t forget to include the docstring and comments. Copy and paste or screen shot the code and the thirteen test cases shown below in your submission. .    >>> getInteger(5,4) 5 and 4 are not valid parameters 0…

Python question please include all steps and screenshot of code. Also please provide a docstring, and comments through the code, and test the given examples below. Thanks. Write a function called qsolver() that solves a quadratic equation: ax2+bx+c=0. Yourfunction will take three input arguments, a, b, and c, first compute the discriminant d =b2 - 4*a*c. If d < 0, the equation has no real roots. If d == 0 then the equation has one realroot equal to -b / (2*a). If d > 0, the equation has two roots: (-b - math.sqrt(d)) / (2*a) and(-b+math.sqrt(d))/(2*a). Your program should solve the equation given by coefficients a,b, and c, and then return string "No roots", or value ____ , or tuple (____, ____).>>> qsolver(1,2,1)-1.0>>> qsolver(1,0,-1)(1.0, -1.0)>>> qsolver(1,0,1)'No roots'