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Let f: R->R be a differentiable functio...

Let `f: R->R` be a differentiable function for all values of `x` and has the property that `f(x)a n df^(prime)(x)` has opposite signs for all value of `xdot` Then, (a)`f(x)` is an increasing function (b)`f(x)` is an decreasing function (c)`f^2(x)` is an decreasing function (d)`|f(x)|` is an increasing function

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