Complete the following Code Use the numerical differentiation to compute the derivative of the function below:f(x) = 2x – 4x² + xGiven 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.Parametersa : numberCompute derivative at x = ah : numberStep size in difference formulaStep 1: define the function f(x) based on the given function aboveStep 2: use the central difference formula for calculating the f'(a)# your code herereturn fprime # # Make sure in your solution, you use the same name "fprime" for the output

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Ise the numerical differentiation to compute the derivative of the function below: f(x) = 2x* – 4x² + x Siven 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" ef 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 return fprime # # Make sure in your solution, you use the same name "fprime" for the output

Ise the numerical differentiation to compute the derivative of the function below: f(x) = 2x* – 4x² + x Siven 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" ef 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 return fprime # # Make sure in your solution, you use the same name "fprime" for the output

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Complete the following Code

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
return fprime # # Make sure in your solution, you use the same name "fprime" for the output

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