Points are not diffrentiable

Calculus Level 3

The number of points where

f ( x ) = 2 2 x f(x) = \left| 2 - \left| 2 -\left|x \right| \right| \right|

is not differentiable is:

5 4 0 9

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1 solution

Pulkit Gupta
Nov 14, 2015

The function is non differentiable at points where its graph has sharp turns (or has kinks). Clearly, 5 such points are there from the above graph.

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