Finding the maximum value without using derivatives – math.stackexchange.com

Finding the maximum value without using derivatives – math.stackexchange.com

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Find the maximum value of $$f(x)=2\sqrt{x}-\sqrt{x+1}-\sqrt{x-1}$$ without using derivatives. The domain of $f(x)$ is $x \in [1,\infty)$. Then, using derivatives, I can prove that the function ...

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