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Find the local extrema of abs(x-1/x+1)

baha jaff , 14 Years ago
Grade 12
anser 1 Answers
Askiitians_Expert Yagyadutt

Last Activity: 14 Years ago

Hello baha

 

there are two ways to solve this problem one with graph and other with simple ..calculation..now let me first tell you by calculation

 

So i am solving it with graph which is quite easier one...

 

Y = | (x-1)/(x+1) |  =  | (x -2 + 1)/(x+1) | = | 1 - 2/(x+1) | 

 

Given figure is the graph of this function

 

2060_23490_Untitled.gif

 

From the graph it is clearly visible that function has minimum value at x= 1 ..hence this is local minima ..and at +-infinty it has maxima..which is global maxima...

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