Question
Question: The set of points where the function f(x) = x \|x\| is differentiable is...
The set of points where the function f(x) = x |x| is differentiable is
A
(– ∞, ∞)
B
(–∞, 0) ∪ ( 0, ∞)
C
(0, ∞)
D
[0, ∞]
Answer
(– ∞, ∞)
Explanation
Solution
f(x) = x | x |
differentiable for all x i. e.(–∞, ∞)