Proof that every Differentiable Function is Continuous

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Through this investigation students learn that continuous functions can either be differentiable or nondifferentiable. Students are reminded that d...

In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function, moving through x with a velocity specified by v. It therefore generalizes the notion of a partial derivative, in which the rate of change is taken along one of the coordinate curves, all other coordinates being constant. #Glogster #DirectionalDerivatives

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A Continuous Differentiable Function, 2011, oil, graphite and mixed media on paper on panel, 40" x 40"