Let f(x) be a differentiable function an...

Let `f(x)` be a differentiable function and `f(alpha)=f(beta)=0(alpha< beta),` then the interval `(alpha,beta)`

f(x) + f(x) =0 has at least one root

f(x) -f(x) =0 has at least one real root

f(x) ,f(x) =0 has at least one real root

none of these

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