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Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be:(vii) g(x)=1/(x^2+2) (viii) f (x )=x√1- x , 0 <x<1

(vii) Given:  

    and

Now 

 

  [Turning point]

At    [Negative]

   is a point of local maxima and local maximum value is 

(viii) Given:  

  

 = 

And 

Now 

  = 0

 

 

   is a point of local maxima and local maximum value is 

Again 

  has local maximum value at