# Disguised problem!

**Calculus**Level pending

Let a function \(f \) be defined as

\[f(x) = \max \lbrace x, -x \rbrace\]

The distance of the point from origin where it is non-differentiable can be written as \(\displaystyle\frac{a}{b}\) .

Find the value of \(\displaystyle ab\).

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