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Let f(x)=max{|x^2-2|x| |, |x|} and g(x)=...

Let `f(x)=max{|x^2-2|x| |, |x|}` and `g(x)=min{|x^2-2|x| |, |x|}` then prove that f(x) in not differentiable at 5 points and g(x) is not differentiable at 7 points. Also draw the graph of both `f(x)` and `g(x)`.

Text Solution

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`y=|x^2-2|x||`
`y=x^2-2x`
`y=|x|^2-2|x|`
`y=|x^2-2|x||`
`y=|x|`.
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