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Let f(x)a n dg(x) be differentiable func...

Let `f(x)a n dg(x)` be differentiable functions such that `f^(prime)(x)g(x)!=f(x)g^(prime)(x)` for any real `xdot` Show that between any two real solution of `f(x)=0,` there is at least one real solution of `g(x)=0.`

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