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
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Expert Answers
Rico Grant
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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.)
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