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

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

Grade:12

1 Answers

Askiitians_Expert Yagyadutt
askIITians Faculty 74 Points
12 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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