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`