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1)

Let f'(x) , be differentiable x . if f(1)=-2 and f(x)2x[1,6], then 


A) f(6) < 8

B) f(6) 8

C) f(6) 5

D) f(6) 5

Answer:

Option B

Explanation:

 f'(x)  is differentiable  x[1,6]

 By Lagrange's mean value theorm

 f(x)=f(6)f(1)61

 f(x)2x[1,6] (given)

    f(6)+252       [  f(1)=-2]

       f(6)102f(6)8