Differentiation and integration are the two pillars on which all of calculus rests. For real-valued functions of a real variable, all of the major issues surrounding differentiation were settled long ago. For multivariate differentiation, there are still some subtleties and snares. We adopt a definition of differentiability that avoids most of the pitfalls and makes differentiation of vectors and matrices relatively painless. In later chapters, this definition also improves the clarity of exposition.
KeywordsDifferentiable Function Implicit Function Theorem Directional Derivative Kronecker Product Slope Function
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