Question

Determine where the given function is increasing and decreasing. f(x)=(x+3)^(2/3)-7

Answer 1

increasing when f ' > 0
decreasing when f ' < 0

Answer 2

First you have to start with finding the derivative

Answer 3

I got the derivative its f'(x)= 2/3(x+3)^(-1/3) but now im lost.

Answer 4

now you have to find the critical point. Do this by finding solving the derivative = 0

Answer 5

yeah but dont you have to factor that first then make it = 0 ?

Answer 6

probably and that's where it gets complicated. I know that's the point where I start having trouble. I'm pretty much doing the same stuff you're doing right now just a little further ahead

Answer 7

yeah same here that is where I am stuck. I am in Business Calc.

Answer 8

you could try this. unfortunately it's not really going to help you if you need to learn it but it should give you the answer http://www.wolframalpha.com/widgets/view.jsp?id=a2bc91cf95686cd1a6ae16e6293626f2