will d following function be differentiable at x = 0 ???
1. cos(|x|)+|x|
2. sin(|x|)-|x|
Hi
First one:
If approaches zero from the right, we have:
Now we approach from the left. Note that , is an even function.
So the function is not differentiable at .
The second one you basically do the same thing.
and
.
So the second one is differentiable.