I'm asked to list the conditions where a function would not be differentiable, graph them and also explain why they are not differentiable. Can anyone point me in the righth direction.
n/m found the answer
Corner, discontinuity, and vertical tangent
n/m again now i'm having trouble finding the reason why they cannot be differentiable. Any help is appreciated
Good question: There are many ways to think about this. Think about this way... the derivative measures the rate of change. If there is a point of discontinuity, then there is lack of connection between one point and the next. This removes the possibility of having any change at all.
A point is continuous if you can find the limiting value of the function as x approaches that point. In the situation of a cusp, it is continuous, but the definition of the derivative does not hold. The following example shows the absence of a derivative for at