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Chapter 14 Functions of Several Variables, Continued

In Chapter 13 we introduced functions of several variables, and considered limits, continuity, and partial derivatives. This chapter continues the study of functions of several variables in more detail. We begin in Section 14.1 with what it means for a multivariable function to be differentiable. We then continue with multivariable analogues of elements from single variable calculus, such as the chain rule and extreme values.