jee-advanced 2021 Q14

jee-advanced · India · paper1 4 marks Modulus function Differentiability of functions involving modulus

The number of points at which the function $$f(x) = |2x+1| - 3|x+2| + |x^2 + x - 2|, \quad x \in \mathbb{R}$$ is NOT differentiable is ____.

The number of points at which the function
$$f(x) = |2x+1| - 3|x+2| + |x^2 + x - 2|, \quad x \in \mathbb{R}$$
is NOT differentiable is ____.