Question

f(x)=5x^(2/3)-2x^(5/3) a. Give the domain of f b. Find the critical numbers of f c. Create...

f(x)=5x^(2/3)-2x^(5/3)

a. Give the domain of f

b. Find the critical numbers of f

c. Create a number line to determine the intervals on which f is increasing and decreasing.

d. Use the First Derivative Test to determine whether each critical point corresponds to a relative maximum, minimum, or neither.

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
f(x)= x^4-2x^2-3. Using the first derivative test, find: a. All critical Numbers b. Intervals on which...
f(x)= x^4-2x^2-3. Using the first derivative test, find: a. All critical Numbers b. Intervals on which f(x) is increasing or decreasing c. location and value of all relative extrema
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.
what does a derivative tell us? F(x)=2x^2-5x-3, [-3,-1] F(x)=x^2+2x-1, [0,1] Give the intervals where the function...
what does a derivative tell us? F(x)=2x^2-5x-3, [-3,-1] F(x)=x^2+2x-1, [0,1] Give the intervals where the function is increasing or decreasing? Identify the local maxima and minima Identify concavity and inflection points
Givenf(x)=x3−6x2+15 (a) Find the critical numbers of f. (b) Find the open intervals on which the...
Givenf(x)=x3−6x2+15 (a) Find the critical numbers of f. (b) Find the open intervals on which the function is increasing or decreasing. (c) Apply the First Derivative Test to identify all relative extrema (that is, all relative minimums and maximums).
f(x)= 1/3x^3-3x2+8x+1 Fin the following: a) f'(x) b) The critical numbers c) State the intervals where...
f(x)= 1/3x^3-3x2+8x+1 Fin the following: a) f'(x) b) The critical numbers c) State the intervals where the function is increasing and decreasing. You must state the test values that you are using but don't have to show plugging the test values into the corresponding function. d) State the relative maximum and relative minimum, if any. If there is no relative maximum and/or relative minimum, then state none. Round the y-value(s) to 2 decimal places, if needed.
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of...
Analyze and plot the graph of f(x)= x^4/2 - 2x^3/3. for this, find; 1) domain of f: 2)Vertical asymptotes: 3) Horizontal asymptotes: 4) Intersection in y: 5) intersection in x: 6) Critical numbers 7) intervals where f is increasing: 8) Intervals where f is decreasing: 9) Relatives extremes Relatives minimums: Relatives maximums: 10) Inflection points: 11) Intervals where f is concave upwards: 12) intervals where f is concave down: 13) plot the graph of f on the plane:
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?
Graph the quadratic function f x( ) = −2x 2 + 6x − 3. Give the...
Graph the quadratic function f x( ) = −2x 2 + 6x − 3. Give the vertex, axis, x-intercepts, y-intercept, domain, range, and intervals of the domain for which the function is increasing or decreasing.
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)
For the questions below, consider the following function. f (x) = 3x^4 - 8x^3 + 6x^2...
For the questions below, consider the following function. f (x) = 3x^4 - 8x^3 + 6x^2 (a) Find the critical point(s) of f. (b) Determine the intervals on which f is increasing or decreasing. (c) Determine the intervals on which f is concave up or concave down. (d) Determine whether each critical point is a local maximum, a local minimum, or neither.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT