Question

consider the function f(x)=x³-2x²-x+1 then​

Answer 1

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Answer 2

Answer

Correct option is

D

Rolles theorem is applicable as f satisfies all the conditions and c of Rolles theorem is  

2

1

​

 

f(−2)=f(3)=0

F(x) is continuous in [−2,3] & derivable in (−2,3) so Rolles theorem is applicable.

So ∃cϵ(−2,3) such that f‘(c)=0

⇒  

(c−1)  

2

 

2c  

3

−5c  

2

+4c−1

​

=0

After solving this, we get

⇒c=  

2

1

​