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loki
 5 years ago
Does the derivative for x not exist at 0?
loki
 5 years ago
Does the derivative for x not exist at 0?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0@loki, you should consider the derivative from the left side and the derivative from the right side. consider those, then reconsider the idea of derivative of x at 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0$$f \left( x \right) = \left x \right, f \prime(x)$$

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0from the right, the function resembles y=x, from the left y=x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, the derivative of x does not exist at zero, look guy when we draw the graph of it you will have a sharp point at the origin differentiability guarantees the smooth points remember the surface of the jack fruit.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can draw as many tangent line at x=0, that's why at x=0,x is not differentiable.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The derivative does not exist at sharp corners or cusps
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