JEE MAIN - Mathematics (2021 - 25th February Evening Shift - No. 22)
A function f is defined on [$$-$$3, 3] as
$$f(x) = \left\{ {\matrix{ {\min \{ |x|,2 - {x^2}\} ,} & { - 2 \le x \le 2} \cr {[|x|],} & {2 < |x| \le 3} \cr } } \right.$$ where [x] denotes the greatest integer $$ \le $$ x. The number of points, where f is not differentiable in ($$-$$3, 3) is ___________.
$$f(x) = \left\{ {\matrix{ {\min \{ |x|,2 - {x^2}\} ,} & { - 2 \le x \le 2} \cr {[|x|],} & {2 < |x| \le 3} \cr } } \right.$$ where [x] denotes the greatest integer $$ \le $$ x. The number of points, where f is not differentiable in ($$-$$3, 3) is ___________.
Answer
5
Explanation
_25th_February_Evening_Shift_en_22_1.png)
Points of non-differentiability in ($$-$$3, 3) are at x = $$-$$2, $$-$$1, 0, 1, 2.
i.e. 5 points.
Comments (0)
