If f(x) = |x-2 | and g(x) = f [f(x)] , t...

If `f(x) = |x-2 | and g(x) = f [f(x)]` , then `g'(x) = ...........`for `x> 2`.

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The correct Answer is:

1

Given, ` f(x) = |x-2|`
` :." "g(x) = f[f(x)]=||x-2|-2|`
When,`" " x gt 2`
`" " g(x) = |(x-2)-2|=|x-4|=x-4`
` :." " g'(x)=1" when " x gt 2`

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