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  4. Find the minimum value of the function f(x)=2|x-2|+5|x-3| for all x ∈ R.

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Q. Find the minimum value of the function $f(x)=2|x-2|+5|x-3|$ for all $x \in R$.

Application of Derivatives

Solution:

$f(x)=2|x-2|+5|x-3|$
image
minimum value $=2$