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Find the value of x for which y={x(x-2)}^2 is an increasing function.
Applications of Derivatives | CBSE | Class 12 | Exercise 6.2 | Maths | NCERT
Find the value of x for which y={x(x-2)}^2 is an increasing function.

 Given:  

 

 

[Applying Product Rule]

 

= 

=    ……….(i)

 

Therefore, we have 

For   taking  (say),

 

  is decreasing.

For   taking  (say),

 

  is increasing.

For   taking  (say),

 

  is decreasing.

For   taking  (say),

 

  is increasing.

i

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