Abstract
This chapter provides an overview of differential calculus. It discusses limits difference quotient, differential quotient, and the concept of differential; rules for differentiation; derivatives of the elementary functions, differentiation of a vector function; graphical differentiation; extrema of functions (maxima and minima); mean-value theorems; and indeterminate expressions. A function f(x) has the limit C at the point x = c if, for some quantity ɛ > 0, however small, a number ζ > 0 can always be found so that function values in the interval f(x) Є (C − ɛ; C + ɛ) correspond to x-values in the interval x Є (c − ζ; c + ζ). C is a left-hand limit if the function f(x) approaches the value C unlimitedly with increasing x-values. C is a right-hand limit if the function f(x) approaches the value C unlimitedly with decreasing x-values.
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