What is the difference in between differentiability and partial differentiability?
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Differentiability refers to the existence of a derivative while differentiation is the process of taking the derivative. It is like the difference between perceptibility and perception. ... Perceptibility refers to the ability to perceive an object while perception is the act of perceiving the object.
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Difference between continuity and differentiability
Intuitively, continuity of f(x) requires that its graph be a continuous curve; and differentiability requires also that there is always a unique tangent vector to the graph of f(x).
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