In this video I go over what it means if a function is differentiable, which means if the derivative exists at either a specific point or interval. I illustrate how to find out if a function is differentiable by going over the example y = |x|.
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Is a function Differentiable? + Example
A function f is differentiable at a if f’(a) exists.
It is differential in an interval if it is differential at every number in the interval.
Example
Where is the function f(x) = |x| differentiable?
f(x) = |x| is differentiable at all values but x = 0.