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What is the value of p for which the function  has an extremum at 

  1. 1
  2. 2
  3. -1
  4. None of these

Answer (Detailed Solution Below)

Option 2 : 2
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Detailed Solution

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Concept:

If function f(x) has an extreme at x = a then f'(a) = 0

Calculations:

Consider, the function  

Taking derivative w.r.to x , we get

⇒ 

⇒ 

⇒ 

⇒

The function  has an extremum at  

⇒f'() = 0

⇒ p = 2

Hence, the value of p for which the function  has an extremum at  is 2.

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