Use the numerical differentiation to compute the derivative of the function below: S(x) = 2x* – 4x +x Given an arbitary value x = a, compute the derivative s'(x = a) with step size h using the central difference numerical approximation. I # 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
Use the numerical differentiation to compute the derivative of the function below: S(x) = 2x* – 4x +x Given an arbitary value x = a, compute the derivative s'(x = a) with step size h using the central difference numerical approximation. I # 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
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![Q7:
Use the numerical differentiation to compute the derivative of the function below:
S(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.
In [ ]: # 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F507f99da-9967-4c1f-a8fd-4e55d78bcba3%2Fbe66d9dc-a321-4f30-ad62-752e44f5b19b%2Fy3wujs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q7:
Use the numerical differentiation to compute the derivative of the function below:
S(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.
In [ ]: # 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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