The number of points, at which the function f(x) = | 2x + 1 | - 3| x + 2 | + | x² + x - 2 |, x R is not differentiable, is _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Morning shift · Q33

JEE Main 202125 Feb, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The number of points, at which the function f(x) = | 2x + 1 |

-

3| x + 2 | + | x² + x

-

2 |, x

\in

R is not differentiable, is __________.

Your answerType your answer. Integers and decimals are accepted.