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Let f(x)=2x+tan^(-1)x and g(x)=log(e)(x+...

Let `f(x)=2x+tan^(-1)x` and `g(x)=log_(e)(x+sqrt(1+x^(2))),x in[0,3]`.Then

A

min `f'(x)=1+max g'(x)`

B

there exist `0ltx_1ltx_2lt3` such that `f(x)ltg(x),AA x in ((x_(1),x_(2))`

C

max `f(x)gt`max `g(x)`

D

there exists `x in [0,3]` such that `f'(x)ltg'(x)`

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The correct Answer is:
C
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