If the absolute maximum value of is

MATHEMATICS · Numerical · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

If the absolute maximum value of f(x)=1∣x−4∣+1+1∣x+8∣+1f(x)=\frac{1}{|x-4|+1}+\frac{1}{|x+8|+1} is pq\frac{p}{q}, where pp and qq are coprime, find p−qp-q.

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