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Let f(x)a n dg(x) be two functions which...

Let `f(x)a n dg(x)` be two functions which are defined and differentiable for all `xgeqx_0dot` If `f(x_0)=g(x_0)a n df^(prime)(x)>g^(prime)(x)` for all `x > x_0,` then prove that `f(x)>g(x)` for all `x > x_0dot`

A

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

B

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

C

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

D

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

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The correct Answer is:
B
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