Question

f`(x) = x^1/3(x - 1) Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.

Answer 1

What do you know about the derivative of a function?

Answer 2

Ok I am the asking the question.Question with question how we going to solve the problem.I am visual guy see how to solve than I learned.If I know I would not even ask.

Answer 3

This isn't a place where we're gonna give you the answers explicitly.

Answer 4

The derivative of a function can be used to find the slope of the function at some point. When the derivative has positive y values, the function is increasing. When the derivative has negative y values, the function is decreasing.

Answer 5

I do not want answer just there,I want to see the solution.You know when you visual person what ever you going to tell I would not understand I need to see it.

Answer 6

If you do not please check other people question.I need someone to help not questioning me with question.

Answer 7

If we show you a solution, that's giving you the answer. And I didn't ask a question in my last post, I'm telling you a method to solve the problem. f(x) is increasing whenever f'(x) is positive. So, find the intervals when f'(x) is positive.

Answer 8

Set f'(x) = 0, solve for x. That'll be your critical numbers of the function. Then, do the First Derivative Test.

Answer 9

Decreasing on (0, 1); increasing on (1, infinity)

Answer 10

So, f(x) is increasing on (1, infinity)! There ya go.

Answer 11

Ok.Thanks.