Question

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.

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
1. What is a critical number of a function f ? What is the connection between...
1. What is a critical number of a function f ? What is the connection between critical numbers and relative extreme values? 2. What does the sign of the derivative, f ', tell us about the function? What does the sign of the 2nd derivative, f ", tell us about the function?
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.
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
In class I gave a general formula for derivative of an exponential function f(x) = loga...
In class I gave a general formula for derivative of an exponential function f(x) = loga u(x); where "a" is called Base, and u(x) is called the argument of the log function, which is also given below. Note, the derivative of a logarithmic function f(x) has three parts and is given here: f ' (x) = 1/ln (a) .   1/u(x) . u ' (x) In your words, describe (in words only)  each one of the three parts shown above: a- describe...
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) =
For each polynomial f(x) ∈ Z[x], let f ' (x) denote its derivative, which is also...
For each polynomial f(x) ∈ Z[x], let f ' (x) denote its derivative, which is also a polynomial in Z[x]. Let R be the following subset of Z[x]: R = {f(x) ∈ Z[x] | f ' (0) = 0}. (a) Prove that R is a subring of Z[x]. (b) Prove that R is not an ideal of Z[x].
Let f(x,y) be a function of x and y. The partial derivative of f(x,y) with respect...
Let f(x,y) be a function of x and y. The partial derivative of f(x,y) with respect to y is equivalent to the directional derivative of f(x,y) in the direction of the unit vector Select one: a. 〈0,1〉 b. 〈1,0〉 c. 〈1,1,1〉 d. 〈0,5〉
1. Consider the function. f(x) = 6x − 9 (a) Find the inverse function of f....
1. Consider the function. f(x) = 6x − 9 (a) Find the inverse function of f. (b) Graph f and f −1 on the same set of coordinate axes. (c) Describe the relationship between the graphs. The graphs of f and f −1 are reflections of each other across the line y = (d) State the domain and range of f and f −1. (Enter your answers using interval notation.) 2. Consider the function. f(x) = x+3/x (a) Find the...
For function, f(z)=ze^z use Cauchy-Reimann equations to see if its analytic and find the derivative of...
For function, f(z)=ze^z use Cauchy-Reimann equations to see if its analytic and find the derivative of f(z)
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative....
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative. Simplify all steps.     a. Find f(x + h).   ____________     b. Find f(x + h) – f(x).   ____________     c. Find [f(x + h) – f(x)] ÷ h.   ____________   d. Find lim (hà0) [f(x + h) – f(x)] ÷ h.   ____________     e. Find an equation of the line tangent to the graph of y = x2 – 8x where x = -3. Present your answer...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT