Question

Given the function f(?) = ?^3 − 9?^2 + 24? − 2, a) Find the critical...

Given the function f(?) = ?^3 − 9?^2 + 24? − 2,
a) Find the critical numbers and make a sign diagram for the first derivative.
b) Find the possible inflection points and make a sign diagram for the second derivative.
c) Using the information to sketch the graph of the function and show the local mins and maximums and the inflection points on the graph.

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
Given the function h(x)=e^-x^2 Find first derivative f ‘ and second derivative f'' Find the critical...
Given the function h(x)=e^-x^2 Find first derivative f ‘ and second derivative f'' Find the critical Numbers and determine the intervals where h(x) is increasing and decreasing. Find the point of inflection (if it exists) and determine the intervals where h(x) concaves up and concaves down. Find the local Max/Min (including the y-coordinate)
Given a function?(?)= −?5 +5?−10, −2 ≤ ? ≤ 2 (a) Find critical numbers (b) Find...
Given a function?(?)= −?5 +5?−10, −2 ≤ ? ≤ 2 (a) Find critical numbers (b) Find the increasing interval and decreasing interval of f (c) Find the local minimum and local maximum values of f (d) Find the global minimum and global maximum values of f (e) Find the inflection points (f) Find the interval on which f is concave up and concave down (g) Sketch for function based on the information from part (a)-(f)
(i) Given the function f(x) = x3 − 3x + 2 (a) What are the critical...
(i) Given the function f(x) = x3 − 3x + 2 (a) What are the critical values of f? (b) Find relative maximum/minimum values (if any). (c) Find possible inflection points of f. (d) On which intervals is f concave up or down? (e) Sketch the graph of f. (ii) Find a horizontal and a vertical asymptote of f(x) = 6x . 8x+3
Given: ?(?) = 8/ (4−?^2) and ?(?) = sin(?) − ?. Answer the following for each...
Given: ?(?) = 8/ (4−?^2) and ?(?) = sin(?) − ?. Answer the following for each of the functions given. (a) Find the domain (b) Find the intercept(s) (c) Find the asymoptote(s) (d) Find the possible critical and inflection numbers (e) Construct a sign table for Hint for (f(x), f'(x), and f'' (x) and show step by step (f) Find the intervals in which the function is increasing/decreasing (g) Find the intervals in which the function is concave up/down (h)...
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.
Calculate the Y values corresponding to the X values given below. Find the critical values for...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dy/dx = 0 and/or X values where the second derivative, d­2y/dx2 = 0.    Be sure to find the sign (+ or -) of dy/dx and of d2y/dx2 at all X values. Reference Lesson 13 and the text Appendix A (pp 694 – 698), as needed. Using the...
Consider the function f(x) = −x3 + 4x2 + 7x + 1. (a) Use the first...
Consider the function f(x) = −x3 + 4x2 + 7x + 1. (a) Use the first and second derivative tests to determine the intervals of increase and decrease, the local maxima and minima, the intervals of concavity, and the points of inflection. (b) Use your work in part (a) to compute a suitable table of x-values and corresponding y-values and carefully sketch the graph of the function f(x). In your graph, make sure to indicate any local extrema and any...
For the function f(x) =x(x−4)^3 • Find all x-intercepts and find the y-intercept • Find all...
For the function f(x) =x(x−4)^3 • Find all x-intercepts and find the y-intercept • Find all critical numbers, • Determine where the function is increasing and where it is decreasing, • Find and classify the relative extrema, • Determine where the function is concave up and where it is concave down, • Find any inflection points, and Use this information to sketch the graph of the function. • Use this information to sketch the graph of the function.
f(x)=x^3-4x^2+5x-2 Find all critical numbers of the function, then use the second derivative test on each...
f(x)=x^3-4x^2+5x-2 Find all critical numbers of the function, then use the second derivative test on each critical number to determine if it is a local maximum or minimum. Show your work.
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify your answer using the first or second derivative test . round your answers to the nearest tenth as needed. b)find the intervals of concavity and any inflection points of f. Round to the nearest tenth as needed. c)graph f(x) and label each important part (domain, x- and y- intercepts, VA/HA, CN, Increasing/decreasing, local min/max values, intervals of concavity/ inflection points of f?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT