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Differentiability of a Function, Its Differential, and Derivative.

The derivative of a function. Calculating first-order derivatives.

The differential of a function. First-order differentials.

The geometric interpretation of the derivative.

Approximate calculations using differentials

The derivative of an inverse function.

Tables and Formulas

Derivative Table.

Table of Derivatives of Composite Functions.

Table of Higher Order Derivatives.

Table of Integrals

Taylor Series

Comparison of functions O(f) and o(f).