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Channel: Is the square root of the absolute value function ($\sqrt{|x|}$) differentiable at $x = 0$? - Mathematics Stack Exchange
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Answer by BSplitter for Is the square root of the absolute value function...

This question is pretty old, but based on its number of views, it probably deserves a more robust answer. In order to show that this limit exists, we must show that the left-handed limit is equal to...

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Answer by Abhishek Dudhal for Is the square root of the absolute value...

If you plot Graph of $f(x)=√|x|$ you will get the answer.If you draw tangent to that graph at $x=0$ it will be a vertical tangent. Now also you have to understand that $f'(x)=1/√|x|$ is not defined at...

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Is the square root of the absolute value function ($\sqrt{|x|}$)...

I've been trying to solve the problem below for hours but so far I haven't managed to find a solution. Help would really be appreciated. Thanks a lot!ProblemShow whether or not the function...

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