ZuoTi.Pro
Question

1-Find the local maximum value of f using both the First and Second Derivative Tests. f(x)...

1-Find the local maximum value of f using both the First and Second Derivative Tests.

f(x) = x + √4 - x

2-Consider the equation below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)

f(x) = 2x3 + 3x2 − 72x

(a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
(  ,  ) ∪ (  ,  )

Find the interval on which f is decreasing.
(  ,  ) (b) Find the local minimum and maximum values of f.
(min)
(max) (c) Find the inflection point.
(  ,  )

Find the interval on which f is concave up.
(  ,  )

Find the interval on which f is concave down.
(  ,  )

math   calculus   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Consider function, f(x)=x+,4-x Find the local minimum and local maximum values Second derivative test: Suppose fis continuous near c, (a) If f(c)>0 then f has local minimum at c (b) If f(c) <0 then f has local maximum at c. Differentiate with respect to x. ddr Again, differentiate with respect to x. 1d 1 -x)2 4(4-x)?

0 0
Add a comment
Know the answer?
Add Answer to:
1-Find the local maximum value of f using both the First and Second Derivative Tests. f(x)...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) =...

    17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...

  • 8,14 please 8. The graph of the first derivative f' of a function f is shown....

    8,14 please 8. The graph of the first derivative f' of a function f is shown. (a) On what intervals is f increasing? Explain. (b) At what values of x does f have a local maximum or minimum? Explain. (c) On what intervals is f concave upward or concave down- ward? Explain (d) What are the x-coordinates of the inflection points of f? Why? y = f'(x) 2 6 8 9-18 (a) Find the intervals on which f is increasing...

  • Use the first derivative test to determine the location of each local extremum and the value...

    Use the first derivative test to determine the location of each local extremum and the value of the function at this extremum. - 2x f(x) = x 6 Identify the location and function value of the maximum of the function, if any. Select the correct answer below and, if necessary, fill in any answer boxes within your choice. O A. The function has a local maximum of at x = (Use a comma to separate answers as needed. Type exact...

  • Please answer clearly and step by step, thank you!!!! 1. Below is a function f for...

    Please answer clearly and step by step, thank you!!!! 1. Below is a function f for which f' and t” have already been computed for you. f(x) = 24 – 43% + 162 ' (t) = 4(x + 1)(x - 2) 2 f "(t) = 122(x – 2) (a) Find the intervals where f is increasing/decreasing (or write "none"). Also find the L-values where a local maximum/minimum occurs (or write "none.") Increasing on: Decreasing on: Local Max(s) at 2= Local...

  • 2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first...

    2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first derivative b.) find the second derivative c.) find the functions critical values(if any). include their y- coordinates in your answers in order to form critical points. d. )find the intervals on which f is increasing or decreasing. e. )find the local extrema of f. f. )find the functions hyper critical values(if any). include their y coordinates g.) find the intervals of concavity, i.e. the...

  • is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative...

    is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...

  • Consider the equation below. f(x) = 6 cos2(x) − 12 sin(x),      0 ≤ x ≤ 2π (a)...

    Consider the equation below. f(x) = 6 cos2(x) − 12 sin(x),      0 ≤ x ≤ 2π (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 points. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the interval on which f is...

  • Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates...

    Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates of the critical values (enter DNE if none) DNE List the x-coordinates of the inflection points (enter DNE if none) DNE List the intervals over which the function is increasing or decreasing (use DNE for any empty intervals) Increasing on DNE Preview Decreasing on -1/5 *Preview...

  • Let f(x) = 3r" +44.23 + 204r? + 288. - 3. Calculate the derivative f'(x) =...

    Let f(x) = 3r" +44.23 + 204r? + 288. - 3. Calculate the derivative f'(x) = Calculate the second derivative f''(x) Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite intervals). Enter "DNE" if the interval is empty. On what interval(s) is f increasing? Increasing: On what interval(s) is f decreasing? Decreasing: On what interval(s) is f concave downward? Concave Down: On what interval(s) is f concave upward? Concave Up: What is the limit as x approaches...

  • Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x)....

    Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x). b) Find the intervals on which f is increasing or decreasing. c) Find the local maximum and minimum of f, if any. d) Find the intervals on which the graph of f is concave up or concave down. e) Find the points of inflection, if any.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT