Differentiability of a function and relation with continuityMedium
Continuity and Differentiability Points
Let f(x) = ![\left\{ {\begin{array}{*{20}{c}} {3x,}&{x < 0}\\[0.9em] {\min \{ 1 + x + [x],x + 2[x]\} ,}&{0 \leqslant x \leqslant 2}\\[0.9em] {5,}&{x > 2} \end{array}} \right.](https://cdn.examduo.ai/jee/be4245de5f6652ea.webp)
where [.] denotes greatest integer function. If α and β are the number of points, where f is not continuous and is not differentiable, respectively, then α + β equals…….
where [.] denotes greatest integer function. If α and β are the number of points, where f is not continuous and is not differentiable, respectively, then α + β equals…….Ask about this question