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Q 71 Find the minimum valve of given expression What is the answer of given question

Q 71  Find the minimum valve of given expression 
What is the answer of given question
 

Question Image
Grade:12

1 Answers

kkbisht
90 Points
2 years ago
Let y= x2 + 2/(x2+1) -3  For maxima or Minima  dy/dx =0
Now dy/dx= 2x -2.2x/(x2+1)2  =0 => x((x2+1)2 -1)=0 => x=0 or  x2+1=+-1  or x=0,  x2=-2
The only real solution is x=0
At x=0
Therefore  the value of y=0+2/(0+1) -3 =-1
this is the minimum vale of y

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