Question

Consider the equation below. f(x) = 2x3 + 3x2 − 72x (a) Find the interval on...

Consider the equation below.

f(x) = 2x3 + 3x2 − 72x

(a) Find the interval on which f is increasing. (Enter your answer in interval notation.)



Find the interval on which f is decreasing. (Enter your answer in interval notation.)



(b) Find the local minimum and maximum values of f.

local minimum    
local maximum    


(c) Find the inflection point.
(x, y) =

  



Find the interval on which f is concave up. (Enter your answer in interval notation.)



Find the interval on which f is concave down. (Enter your answer in interval notation.)

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

If you have any doubt leave comment

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
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x^7ln(x) (a)...
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x^7ln(x) (a) Find the interval on which f is increasing. (Enter your answer using interval notation.)    Find the interval on which f is decreasing. (Enter your answer using interval notation.)    (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. (x, y) =    Find the interval on which f is concave up....
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) =
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x^4− 50x^2...
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x^4− 50x^2 + 7 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.)    Find the interval on which f is decreasing. (Enter your answer using interval notation.)    (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection points. (x, y) =    (smaller x-value) (x, y) =   ...
1) Use the First Derivative Test to find the local maximum and minimum values of the...
1) Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.): g(u) = 0.3u3 + 1.8u2 + 146 a) local minimum values:    b) local maximum values:    2) Consider the following: f(x) = x4 − 32x2 + 6 (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) increasing:    decreasing:...
Find the intervals where f(x) = 2x3 + 3x2 - 36x + 7 is increasing, decreasing,...
Find the intervals where f(x) = 2x3 + 3x2 - 36x + 7 is increasing, decreasing, concave up, concave down, and the inflection points.
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 equation below. (If an answer does not exist, enter DNE.) f(x) = x4 −...
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 − 8x2 + 7 (b) Find the local minimum and maximum values of f. (c) Find the interval on which f is concave up. (Enter your answer using interval notation.) (d) Find the interval on which f is concave down.(Enter your answer using interval notation.)
Consider the following function. (If an answer does not exist, enter DNE.) f(x) = 1 +...
Consider the following function. (If an answer does not exist, enter DNE.) f(x) = 1 + 5 x − 3 x2 (c) Find the local maximum and minimum values. (d) Find the interval where the function is concave up. (Enter your answer using interval notation.) (e) Find the interval where the function is concave down. (Enter your answer using interval notation.) (f) Find the inflection point. (x, y) =   
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...
Suppose that f(x)=x−3x^1/3 (A) Find all critical values of f. If there are no critical values,...
Suppose that f(x)=x−3x^1/3 (A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeBWorK, you use INF for ∞∞, -INF for −∞−∞, and U for the union symbol. If there are no values that satisfy the required condition, then enter "{}" without the quotation marks....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT