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Let f(x) and g(x) be two functions which...

Let `f(x)` and `g(x)` be two functions which are defined and differentiable for all `xgeqx_0dot` If `f(x_0)=g(x_0)` and `f^(prime)(x)>g^(prime)(x)` for all `x > x_0,` then

A

A) `f(x) lt g(x)` for some `x gt x_(0)`

B

B) `f(x)=g(x)` for some `x gt x_(0)`

C

C) `f(x) gt g(x)` only for some `xgt x_(0)`

D

D) `f(x) gt g(x)` for all `xgt x_(0)`

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The correct Answer is:
B
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