You are given the expression for Taylor Series Expansion f(x + Delta x) = f(x) +

Question

You are given the expression for Taylor Series Expansion f(x + Delta x) = f(x) + Delta x / 1! f'(x)+ Delta x2 / 2! f"(x) + Delta x3 / 3! f'"(x) + Delta x4 / 4! f""(x) + 0(Delta x5) And the following set of points are given at an interval of Delta x. You have been given the liberty of expressing the Taylor Series at any point about any points (i.e. an interval of 3 Delta x is acceptable). Ignore the O(Delta x5) in your expressions. Use the Taylor Series Expansions and find the mathematical expressions for First, Second, Third & Fourth order derivatives of f (i.e. f', f", f'", f"") at xi. Write a small script in MATLAB to calculate the derivatives using the expressions that you have fond. Next assume, f(x) = 2x4 + 3x3 + 10x2 + 5x - 24 and calculate the First, Second, Third & Fourth Derivative of f at x=0.25, Delta x=0.5, by plugging the numbers in your MATLAB code. Calculate the same using MATLAB 'diff' function and compare your results. Present your results in tabular form. Note: Find only First and Second Derivatives.

Explanation / Answer

I'll upload the detailed solution in sometime but only 13 min are left...plz rate atleast 3 stars or rating time will get over.Thank you

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.