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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:(v) f(x) = x ^3 – 6x^ 2 + 9x + 15 (vi) x/2+2 /x , x>0
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:(v) f(x) = x ^3 – 6x^ 2 + 9x + 15 (vi) x/2+2 /x , x>0
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:(v) f(x) = x ^3 – 6x^ 2 + 9x + 15 (vi) x/2+2 /x , x>0

(v) Given:  

    and 

Now 

 

 

 

  or    [Turning points]

At   [Negative]

   is a point of local maxima and local maximum value is 

At     [Positive]

   is a point of local minima and local minimum value is 

(vi) Given:  

  

= 

=   and 

Now 

  = 0

 

  or 

But  therefore  is only the turning point.

   is a point of local minima and local minimum value is 

i

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