Question

Given the function g(x) = x3-3x + 1, use the first and second derivative tests to...

Given the function g(x) = x3-3x + 1, use the first and second derivative tests to

(a) Find the intervals where g(x) is increasing and decreasing.

(b) Find the points where the function reaches all realtive maxima and minima.

(c) Determine the intervals for which g(x) is concave up and concave down.

(d) Determine all points of inflection for g(x).

(e) Graph g(x). Label your axes, extrema, and point(s) of inflection.

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
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
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...
Given f(x)= x3 - 6x2-15x+30 Determine f ’(x) Define “critical point” of a function. Then determine...
Given f(x)= x3 - 6x2-15x+30 Determine f ’(x) Define “critical point” of a function. Then determine the critical points of f(x). Use the sign of f ’(x) to determine the interval(s) on which the function is increasing and the interval(s) on which it is decreasing. Use the results from (c) to determine the location and values (x and y-values of the relative maxima and the relative minima of f(x). Determine f ’’(x) On which intervals is the graph of f(x)...
Analyze and sketch the graph of the function f(x) = (x − 4)2/3 (a) Determine the...
Analyze and sketch the graph of the function f(x) = (x − 4)2/3 (a) Determine the intervals on which f(x) is increasing / decreasing (b) Determine if any critical values correspond to a relative maxima / minima (c) Find possible inflection points (d) Determine intervals where f(x) is concave up / down
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.
Given the function f(x) = x3 - 3x2 - 9x + 10 Find the intervals where...
Given the function f(x) = x3 - 3x2 - 9x + 10 Find the intervals where it is increasing and decreasing and find the co-ordinates of the relative maximums & minimums. Find the intervals where it is concave up and down and co-ordinates of any inflection points Graph the f(x) 
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]
For f(x) xe-x ( a) Find the local extrema by hand using the first derivative and...
For f(x) xe-x ( a) Find the local extrema by hand using the first derivative and a sign chart. b) Find the open intervals where the function is increasing and where it is decreasing. c) Find the intervals of concavity and inflection points by hand. d) Sketch a reasonable graph showing all this behavior . Indicate the coordinates of the local extrema and inflections.
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.
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)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT