Hello! I got something that do not understand
Here is a picture:
Why this function is not differentiable in x=0 ?
It can be seen that the slopes of both sides of the function are same? Why it is not differentiable at x=0?
Thanks in advance.

Hello! I got something that do not understand
Here is a picture:
Why this function is not differentiable in x=0 ?
It can be seen that the slopes of both sides of the function are same? Why it is not differentiable at x=0?
Thanks in advance.
Not quite the same. The slope of the graph for all values of x > 0 is positive, while the slope of the graph for all values of x < 0 is negative. So the limit, of the derivative, approaches different values from each direction. As far as i know this is why the derivative does not exist at x = 0.Originally Posted by scientist91
Thank you for the post and sorry I post wrong diagram. Here is the correct one:Originally Posted by wallaby
The blue dot is "hole" in the graphic of the function.
The slopes are same. Why the it is not differentiable at x=0 ?
It is differentiable at x=0 unless it is (freakishly) defined to be discontinuous at that point. I suppose that's the point of the blue dot.Originally Posted by scientist91
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