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YouTubeDr. Bevin Maultsby
An example checking differentiability of f(x,y), Real Analysis II
In this lesson, we examine the differentiability of a piecewise-defined function at the origin using two methods: the definition of differentiability, and then a helpful theorem. First, we compute partial derivatives at the origin to propose a Jacobian matrix, then use the limit definition of differentiability to see if our function’s ...
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