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  4. f(x)=|x-1|+2|x-3|-|x+2| is monotonically increasing at x= ?

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Q. $f(x)=|x-1|+2|x-3|-|x+2|$ is monotonically increasing at $x=$ ?

Application of Derivatives

Solution:

at $x=-2 $ decreasing
at $x=0$ decreasing
at $x=3$ neither increasing nor decreasing
at $x=5$ increasing

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