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Home » 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
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
Applications of Derivatives | CBSE | Class 12 | Exercise 6.5 | Maths | NCERT
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 

i

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