Question

1, Let f be a function such that f′′(x) =x(x+ 1)(x−2)^2. Find the open intervals on...

1, Let f be a function such that f′′(x) =x(x+ 1)(x−2)^2. Find the open intervals on which is concave up/down.

2. An inflection point is an x-value at which the concavity of a function changes. For example, if f is concave up to the left of x=c and f is concave down to the right of x=c, then x=c is an inflection point. Find all inflection points in the function from Problem 1.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For f(x) = 2x4 - 4x2 + 1 find the open intervals in which the function...
For f(x) = 2x4 - 4x2 + 1 find the open intervals in which the function is increasing and decreasing. Find open intervals where the function is concave up and concave down. Sketch the graph of the function - label all local maximums, all local minimums, and any inflection points.
1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine...
1. Let ?(?)=−?4−4?3+8?−1. Find the open intervals on which ? is concave up (down). Then determine the ?-coordinates of all inflection points of ?. 2. Find the x-values of all inflection points for the graph ?(?)=2?4+18?3−30?2+15f(x)=2x4+18x3−30x2+15. (Give your answers as a comma separated list, e.g., 3,-2.) 3. Let f(x)=1/4x2+7. Find the open intervals on which ?f is concave up (down). Then determine the ?x-coordinates of all inflection points of ?. 4. Let ?(?)=6?−3/?+4 Find the open intervals on which ?f...
let f(x) = x^4 -4x+10, Find the intervals of increase and decrease. for the same function...
let f(x) = x^4 -4x+10, Find the intervals of increase and decrease. for the same function find relative extrema as ordered pairs. for the same function find intervals of concavity (concave up/down) and any inflection points as ordered pairs.
consider the function f(x) = x/1-x^2 (a) Find the open intervals on which f is increasing...
consider the function f(x) = x/1-x^2 (a) Find the open intervals on which f is increasing or decreasing. Determine any local minimum and maximum values of the function. Hint: f'(x) = x^2+1/(x^2-1)^2. (b) Find the open intervals on which the graph of f is concave upward or concave downward. Determine any inflection points. Hint f''(x) = -(2x(x^2+3))/(x^2-1)^3.
Let f(x)=4+12x−x^3. Find (a) the intervals on which ff is increasing, (b) the intervals on which...
Let f(x)=4+12x−x^3. Find (a) the intervals on which ff is increasing, (b) the intervals on which ff is decreasing, (c) the open intervals on which ff is concave up, (d) the open intervals on which f is concave down, and (e) the x-coordinates of all inflection points. (a) f is increasing on the interval(s) = (b) f is decreasing on the interval(s) = (c) f is concave up on the open interval(s) = (d) f is concave down on the...
Let f(x)=((x+1)^2)/((x−1)^2) (a) (8 pts) Find the intervals on which f increases and the intervals on...
Let f(x)=((x+1)^2)/((x−1)^2) (a) (8 pts) Find the intervals on which f increases and the intervals on which f decreases. Find all the local maximum and minimum values of f . (b) Find the intervals on which f is concave upward and concave downward. Find the inflection points.
For the function f(x)=x^5+5x^4-4. Write "none" if there isn't an answer. (a) find all local extrema...
For the function f(x)=x^5+5x^4-4. Write "none" if there isn't an answer. (a) find all local extrema of this function, if any, and increasing and decreasing intervals. Local max:___ Local min:___ Increasing:___ Decreasing:___ (b) Find all the inflection points of this function, if ay. And concave up and concave down intervals. Inflection points:___ concave up:___ concave down:___ (c) Use part a and b to sketch the graph of the function. Must label important points and show proper concavity.
Let f(x) = x3 + 3x2 - 24x - 10 a) Find the intervals on which...
Let f(x) = x3 + 3x2 - 24x - 10 a) Find the intervals on which f is increasing/decreasing, and find all local maximum and local minimum values of f. b) Find all intervals on which f is concave up/concave down, and find all inflection points of f.
Consider the following. f(x) = 4x3 − 6x2 − 24x + 4 (a) Find the intervals...
Consider the following. f(x) = 4x3 − 6x2 − 24x + 4 (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value (c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.) concave up concave down inflection point (x, y) =
Let f (x) = 3x^4 −4x^3 −12x^2 + 1, defined on R. (a) Find the intervals...
Let f (x) = 3x^4 −4x^3 −12x^2 + 1, defined on R. (a) Find the intervals where f is increasing, and decreasing. (b) Find the intervals where f is concave up, and concave down. (c) Find the local maxima, the local minima, and the points of inflection. (d) Find the Maximum and Minimum Absolute of f over [−2.3]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT