Please help on this assignment.

[sk.view]

Question 1
Suppose that f : (a, b) → R and a < c < b. and f is differentiable at c with derivative ?′(?)
?(?)=?^0.7x/(5?−1)(5?−2)
And ?′(?) exist for c ∈ (a, b). If ?=0.28,?= 0.31 and ?′(?)=0 then
A) Find c by numerical differentiation method with Four decimal place accuracy
B) Estimate forward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of ?(?) at x=0 using a value of h=0.01

Question 2
A) find first derivative of function ?(?)=?cos (?)cos (?) at x=7.Y (with steps)*
B) Use Richardson extrapolation to estimate the first derivative of ?(?)=?cos (?)cos (?) at ?=7.? using step size of ℎ= 0.5
Employ centered differences of O(h2) for the initial estimates.,|????? | < 0.00001%)* *. Y is your last digit of old matric number, example, for KIA180057, x=7.7

 

[Deleted member 4993]

Question 1
Suppose that f : (a, b) → R and a < c < b. and f is differentiable at c with derivative ?′(?)
?(?)=?^0.7x/(5?−1)(5?−2)
And ?′(?) exist for c ∈ (a, b). If ?=0.28,?= 0.31 and ?′(?)=0 then
A) Find c by numerical differentiation method with Four decimal place accuracy
B) Estimate forward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of ?(?) at x=0 using a value of h=0.01

Question 2
A) find first derivative of function ?(?)=?cos (?)cos (?) at x=7.Y (with steps)*
B) Use Richardson extrapolation to estimate the first derivative of ?(?)=?cos (?)cos (?) at ?=7.? using step size of ℎ= 0.5
Employ centered differences of O(h2) for the initial estimates.,|????? | < 0.00001%)* *. Y is your last digit of old matric number, example, for KIA180057, x=7.7

Please post ONE problem per thread. Please split the problem set and create two threads.

Please include all your work/thoughts and explain EXACTLY where you are confused/stuck.

Please review your post prior to posting. Some of the characters 're not displaying correctly.

 

[BigBeachBanana]

Here's a screenshot of Q1:

 

[Deleted member 4993]

Question 1
Suppose that f : (a, b) → R and a < c < b. and f is differentiable at c with derivative ?′(?)
?(?)=?^0.7x/(5?−1)(5?−2)
And ?′(?) exist for c ∈ (a, b). If ?=0.28,?= 0.31 and ?′(?)=0 then
A) Find c by numerical differentiation method with Four decimal place accuracy
B) Estimate forward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of ?(?) at x=0 using a value of h=0.01

Question 2
A) find first derivative of function ?(?)=?cos (?)cos (?) at x=7.Y (with steps)*
B) Use Richardson extrapolation to estimate the first derivative of ?(?)=?cos (?)cos (?) at ?=7.? using step size of ℎ= 0.5
Employ centered differences of O(h2) for the initial estimates.,|????? | < 0.00001%)* *. Y is your last digit of old matric number, example, for KIA180057, x=7.7

BBB has kindly posted your first problem. Now it is your turn to show what you have tried and exactly where are stuck.

What are the different methods of numerical differentiation that you have been taught ?