JEE MAIN - Mathematics (2020 - 6th September Evening Slot - No. 7)
Let f : R $$ \to $$ R be a function defined by
f(x) = max {x, x2}. Let S denote the set of all points in R, where f is not differentiable. Then :
f(x) = max {x, x2}. Let S denote the set of all points in R, where f is not differentiable. Then :
{0, 1}
{0}
$$\phi $$(an empty set)
{1}
Explanation
_6th_September_Evening_Slot_en_7_1.png)
From graph you can see,
(1) when x < 0 then y = x2 is greater than y = x. That is why for f(x) that curved part is chosen.
(2) when 0 $$ \le $$ x < 1 then y = x is greater than y = x2. That is why for f(x) part of that straight line is chosen.
(3) when x $$ \ge $$ 1 then y = x2 is greater than y = x. That is why for f(x) that curved part is chosen.
Here on the graph of f(x) there is two sharp corner at x = 0 and x = 1. As we know no function is differentiable at the sharp corner. So f(x) is not differentiable at those two sharp corner.
Comments (0)
