question_answer

Let f be differentiable for all\[x\]. If\[f(1)=-2\]and \[f'(x)\ge 2\]for\[x\in [1,6],\]then     AIEEE  Solved  Paper-2005

A) \[f(6)=5\]   

B)                        \[f(6)<5\]           

C)        \[f(6)<8\]            

D)        \[f(6)\ge 8\]

Correct Answer: D

Solution :

Given that, and           \[f(6)\,-f(1)\ge 10\]                                         Alternate Solution