Question: Let f : R R be a differentiable function such that f ' is also differentiable. Suppose that f takes the value zero at the

Let f:RR be a differentiable function such that f' is also differentiable. Suppose that f takes the value zero at the points {x1,dots,xn}. Show that the equation f'(x)=0 has at least (n-1) solutions.
Let f : R R be a differentiable function such

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