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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.

The derivative of an inverse function.

Approximate calculations using differentials

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).