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Chapter   14   Functions of Several Variables, Continued 
 
In 
Chapter 11  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.