# Calculaue07302020

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User Generated
Subject
Calculus
Type
Homework
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1. f(x)>0 f’(x)<0 f’(x)>0
-5 -3
F(x) increase on the interval as f’(x) >0
x>-3 or x<-5
f(x) decreases on the interval as f’(x)<0
on (-, -3) and (-5,) f increases
-5<x<-3

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On (-5,-3) f decreases.
b)
f’(x) =0,
local extrema is at
x=-5, x=-3
f’’(1)=0 x=1 is not local extrema, it is a inflection point.
2.)The inflection points locate at x where
f’’(x) =0
The inflection point is at
x=0, x=2
3
a
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b)
let y= ln(x
1/x
) = 1/x lnx
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Therefore
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4.
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  
 

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