Analyzing Functions from Derviatives. a)What are the Critical points of f. b)On what intervals is f increasing or decreasing. c)local max/min Answer the following questions above about the...

Analyzing Functions from Derviatives.

a)What are the Critical points of f.

b)On what intervals is f increasing or decreasing.

c)local max/min

Answer the following questions above about the function

f'(x)=(x^2(x-1))/(x+2), x is not equal to -2

 

THANKS!!

Expert Answers info

Rico Grant eNotes educator | Certified Educator

calendarEducator since 2011

write3,003 answers

starTop subjects are Math, Science, and Business

Given `f'(x)=(x^2(x-1))/(x+2)` :

The critical points occur when the first derivative is zero or fails to exist. The first derivative fails to exist at x=-2, but that is not in the domain.

`f'(x)=0 ==>x^2(x-1)=0`

(The entire section contains 124 words.)

Unlock This Answer Now


check Approved by eNotes Editorial