Question: function: Use the forward, backward and centered difference approximations derived in class to estimate the first derivative of the function considered in Problem 1 above.

function: Use the forward, backward and centered difference approximations derived in

function: class to estimate the first derivative of the function considered in Problem

Use the forward, backward and centered difference approximations derived in class to estimate the first derivative of the function considered in Problem 1 above. Evaluate the derivative at x 2 using a step size of h 0.2. Compare your results with the true value of the derivative by calculating the true percent relative error and comment on your results. f(x) = 25x3-6x2 + 7x-88

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

ECE 2240: Numerical Methods for Engineers Winter 2017 Lab 5: Numerical Differentiation and Integration Apr 3-7, 2017 The purpose of this lab is to: 1) Implement numerical methods for approximating...

The objective of this problem is to compare second-order accurate forward, backward, and centered finite-difference approximations of the first derivative of a function to the actual value of the...

I need help on coding this problem in Python 2.7 The objective of this problem is to compare second-order accurate forward, backward, and centered finite-difference approximations of the first...

Use octave and excel to solve the following problems. The Maclaurin series expansion for the arctangent of x is defined for x S 1 as arctan x = 2n + 1 n=0 1 (-1) x2n+1 Using single precision...

. Assume the function f is defined as f(x) = 18x4 - 7x3 + 7 . Use the power rule to find the derivative f'(x) and evaluate that derivative at x = 8.5. Note: To avoid round-off error, retain at least...

Assume the function f is defined as f(x) = 5x4- 9x3+ 2 Use the power rule to find the derivative f'(x) and evaluate that derivative at x = 1.7.Note:To avoid round-off error, retain at least six...

Analysis of formulas derived from Taylor Series- Consider the function f(x) = x3 ? 2x + 4 on the interval [? 2, 2] with h = 0.25 . Use the forward, backward, and centered finite difference...

Any help is appreciated With this background, here's your assignment: . Assume the function f is defined as f(x) = 8x4 - x3 + 11 . Use the power rule to find the derivative f'(x) and evaluate that...

Consider the function (x) = x 3 2x + 4 on the interval [2, 2] with h = 0.25. Use the forward, backward, and centered finite difference approximations for the first and second derivatives so as to...

Consider the function f ( x ) = x 3 2 x + 4 on the interval [2, 2] with h = 0.25. Use the forward, backward, and centered finite difference approximations for the first and second derivatives so as...

-9 Given v = -1 3 find the coordinates for v in the subspace W spanned by -2 2 Uj = 6 and uz =| -6 40 Note that u and uz are orthogonal. uj + 42

A standing-wave interference pattern is set up by radio waves between two metal sheets 2.00 m apart. This is the shortest distance between the plates that will produce a standing-wave pattern. What...

Show solution in excel: Whipple Corp. just issued 3 2 5 , 0 0 0 bonds with a coupon rate of 6 . 2 9 percent paid semiannually that mature in 3 0 years. The bonds have a YTM of 6 . 7 3 percent and...

We have done several product mix problems. We can also formulate multiperiod inventory problems. I am attaching an example for a company that need to satisfy monthly demand at a minimum cost. They...

1. Which position would you take?

4. Is your choice different from that which you would recommend to Laura?

3. How does this fit with your preferences, career anchors, and values?