Question

Using the central divided difference approximation with a step size of 0.4, the derivative of f(x)...

Using the central divided difference approximation with a step size of 0.4, the derivative of f(x) = 6x^4 at x = 2.1 is ____. Keep 4 decimal places.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Derive or prove the three point backward difference approximation of the first derivative, aka Dh--f, of...
Derive or prove the three point backward difference approximation of the first derivative, aka Dh--f, of a function f(x), using either polynomial interpolant method (Newton's or Lagrange's) here is the first derivative approximation: f'(x) = (3* f(x) - 4*f(x-h)+ f(x-2h)) /2h , which is congruent to Dh--f
Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h^2 )...
Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h^2 ) to estimate the first and second derivatives of f(x)= 0.4x^5 ‐0.2x^3 +6x^2 ‐13 at x=2 using a step size h=1. Repeat the computation using h values of 0.5, 0.25, and 0.1. Compare your results with the exact derivative value at x=2.
a)Describe the connection between the kth divided difference of a function f and its kth derivative....
a)Describe the connection between the kth divided difference of a function f and its kth derivative. b)State one advantage and two disadvantages of using the monomial basis for polynomial interpolation.
Show that the derivative of f(x) = 6+4x^2 is f' (x)=8x by using the definition of...
Show that the derivative of f(x) = 6+4x^2 is f' (x)=8x by using the definition of the derivative as the limit of a difference quotient.
Consider the function f(x) whose second derivative is f′′(x)=6x+10sin(x). If f(0)=2 and f′(0)=4, what is f(x)?
Consider the function f(x) whose second derivative is f′′(x)=6x+10sin(x). If f(0)=2 and f′(0)=4, what is f(x)?
For a given h, a derivative at a point x0 can be approximated using a forward...
For a given h, a derivative at a point x0 can be approximated using a forward difference, a backward difference, and a central difference: f 0 (x0) ≈ f(x0 + h) − f(x0) h forward difference f 0 (x0) ≈ f(x0) − f(x0 − h) h backward difference f 0 (x0) ≈ f(x0 + h) − f(x0 − h) 2h central difference. Using MATLAB or Octave, Write a script that prompts the user for an h value and an x0...
Evaluate the Riemann sum for f ( x ) = 0.4 x − 1.7 sin (...
Evaluate the Riemann sum for f ( x ) = 0.4 x − 1.7 sin ( 2 x ) over the interval [ 0 , 2 ] using four subintervals, taking the sample points to be midpoints. M 4 = step by step solution is needed. answer to 6 decimal place.
using your calculator or graphing calculator, find an approximation of all the roots of the equation...
using your calculator or graphing calculator, find an approximation of all the roots of the equation below to nine decimal places using Newton's method. list the iterations leading to the solutions. F(x)=X3-3x2+6x+2
Hint if need to find ex 4.1^5 make f(x)= x^5, f'(x)= 5x^4, and plug in 4...
Hint if need to find ex 4.1^5 make f(x)= x^5, f'(x)= 5x^4, and plug in 4 to f(x), f'(x), and f''(x) to use the quadratic approximation Find f(x), f' (x), and f'' (x) to use the quadratic approximation Show step by step to understand. 1.Use quadratic approximation to... a.to estimate √66 ^3 to 3 decimal places if possible. b. to estimate ??? 46 degrees to 3 decimal places if possible. c. to estimate ??? 89 degrees to 3 decimal places...
Find the derivative of the function using the definition of derivative. f(x) = 1 5 x...
Find the derivative of the function using the definition of derivative. f(x) = 1 5 x − 1 6 f '(x) = B, f(x) = 2.5x2 − x + 4.8 f '(x) = C, f(x) = 3x4 f '(x) = D, If f(t) = 3 t and a ≠ 0 , find f '(a). f '(a) =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT