Collegecalculus
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The cross product is ubiquitous throughout linear algebra and vector calculus. It plays a major role in transformations of coordinate systems and is intimately related to the determinant. In fact, its definition in linear algebra courses is often given in terms of the determinant, which can seem mysterious and arbitrary. In this post, I want to ...
One topic that seemed a bit mysterious and magic to me when I first learned calculus was implicit differentiation. In this post, we’ll start by reviewing some examples of implicit differentiation and then discuss why implicit differentiation works.