Question

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.

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.
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.
Let f(x)=2x^3 - 9x^2 +12x -4 Find the intervals of which f is increasing or decreasing...
Let f(x)=2x^3 - 9x^2 +12x -4 Find the intervals of which f is increasing or decreasing Find the local maximum and minimum values of f Find the intervals of concavity and the inflection points
Consider the function f(x) = x^2/x-1 with f ' (x) = x^2-2x/ (x - 1)^2 and...
Consider the function f(x) = x^2/x-1 with f ' (x) = x^2-2x/ (x - 1)^2 and f '' (x) = 2 / (x - 1)^3 are given. Use these to answer the following questions. (a) [5 marks] Find all critical points and determine the intervals where f(x) is increasing and where it is decreasing, use the First Derivative Test to fifind local extreme value if any exists. (b) Determine the intervals where f(x) is concave upward and where it is...
find the open intervals where f(x) = x √ 4 − x 2 is increasing or...
find the open intervals where f(x) = x √ 4 − x 2 is increasing or decreasing algebraically find the open intervals where f(x) = −x 3 + 4x 2 − 6 is concave upward or concave downward algebraically the radical goes overvthe whoe equation over 4-x^2
If f(x)-x^3-3x; a) find the intervals on which f is increasing or decreasing. b)find the local...
If f(x)-x^3-3x; a) find the intervals on which f is increasing or decreasing. b)find the local maximum and minimum values c)find the intervals of concavity and inflection points d)use the information above to sketch and graph of f
. For the function f(x) = x 1+x2 (a) find the intervals on which the function...
. For the function f(x) = x 1+x2 (a) find the intervals on which the function is increasing or decreasing (b) determine the points of local maximum and local minimum (c) find the asymptotes.
Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 +...
Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 + x − 30 (a) Find the open intervals on which f ′(x) is increasing or decreasing. (Enter your answers using interval notation.) increasing (−12​,∞) decreasing (−∞,−12​) (b) Find the open intervals on which the graph of f is concave upward or concave downward. (Enter your answers using interval notation.) concave upward concave downward (c) Find the x-values of the relative extrema of f. (Enter...
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) =
given function f(x)=-x^3+5x^2-3x+2 A) Determine the intervals where F(x) Is increasing and decreasing b) use your...
given function f(x)=-x^3+5x^2-3x+2 A) Determine the intervals where F(x) Is increasing and decreasing b) use your answer from a to determine any relative maxima or minima of the function c) Find that intervals where f(x) is concave up and concave down and any points of inflection
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT