Question

so i have a function with f(1) = f'(1) = f''(1) = f'''(1) ..... f^9 (1)...

so i have a function with f(1) = f'(1) = f''(1) = f'''(1) ..... f^9 (1) = 0 and f^10(1) = -2 and f^11(1) = 3 and im trying to find the taylor polynomial of f at a =1 and see if it has a local maximum or minimum at 1 or. (or neither maximum or minimum)

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
Suppose f is a function with f(1) = f′(1) = ··· = f^(9) (1) = 0,...
Suppose f is a function with f(1) = f′(1) = ··· = f^(9) (1) = 0, f^(10) (1) = −2, and f^(11) (1) = 3. Write the 11-th Taylor polynomial of f at a = 1, and determine if f has a local maximum or a local minimum or neither at 1.
1-(Partial Fraction Decomposition Revisited) Consider the rational function 1/(1-x)(1-2x) (a) Find power series expansions separately for...
1-(Partial Fraction Decomposition Revisited) Consider the rational function 1/(1-x)(1-2x) (a) Find power series expansions separately for 1/(1 − x) and 1/(1 − 2x). (b) Multiply these two power series expansions together to get a power series ex-pansion for 1 (1−x)(1−2x) (This involves doing an infinite amount of distributing and combining coeffi-cients, but you should be able to figure out the pattern here.) c) Separate the power series in terms of power series for A/(1 − x) and B/(1 − 2x)...
i) Approximate the function f(x) = cos x by a Taylor polynomial of degree 3 at...
i) Approximate the function f(x) = cos x by a Taylor polynomial of degree 3 at a = π/3 ii) What is the maximum error when π/6 ≤ x ≤ π/2? (this is the continuation of part i))
(1 point) The function f(x)=−2x^3+21x^2−36x+11 has one local minimum and one local maximum. This function has...
(1 point) The function f(x)=−2x^3+21x^2−36x+11 has one local minimum and one local maximum. This function has a local minimum at x equals ______with value _______and a local maximum at x equals_______ with value_______
Consider the function f(x,y) = -8x^2-8y^2+x+y Select all that apply: 1. The function has two critical...
Consider the function f(x,y) = -8x^2-8y^2+x+y Select all that apply: 1. The function has two critical points 2. The function has a saddle point 3. The function has a local maximum 4. The function has a local minimum 5. The function has one critical point *Please show your work so I can follow along*
For the function , (1)/(3)x^(3)-3x^(2)+8x+11 1)at x=, f(x) attains a local maximum value of f(x)   2)at...
For the function , (1)/(3)x^(3)-3x^(2)+8x+11 1)at x=, f(x) attains a local maximum value of f(x)   2)at x=, f(x) attains a local minimum value of f(x)
1. Find the absolute maximum value and the absolute minimum value, if any, of the function....
1. Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) g(x) = −x2 + 4x + 9 maximum = minimum= 2. Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = x2 − x − 3 on [0, 3] 3. Find the absolute maximum value and the absolute minimum value, if...
Use analytical methods to find all local extrema of the function f(x)=3x^1/x for x>0. The function...
Use analytical methods to find all local extrema of the function f(x)=3x^1/x for x>0. The function f has an absolute maximum of ? at x=? The function f has an absolute minimum of ? at x=?
(a) Find the maximum and minimum values of f(x) = 3x 3 − x on the...
(a) Find the maximum and minimum values of f(x) = 3x 3 − x on the closed interval [0, 1] by the following steps: i. Observe that f(x) is a polynomial, so it is continuous on the interval [0, 1]. ii. Compute the derivative f 0 (x), and show that it is equal to 0 at x = 1 3 and x = − 1 3 . iii. Conclude that x = 1 3 is the only critical number in...
Find a cubic function f(x) = ax3 + bx2 + cx + d that has a...
Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 4 at x = −2 and a local minimum value of 0 at x = 1.