# Chapter 2 - Algebraic Functions

**The Derivative**

Derivative of a function is the limit of the ratio of the incremental change of *dependent variable* to the incremental change of *independent variable* as change of independent variable approaches zero. For the function y = f(x), the derivative is symbolized by y’ or dy/dx, where y is the dependent variable and x the independent variable.

$\displaystyle y' = \dfrac{dy}{dx} = \lim_{\Delta x \to 0} \dfrac{\Delta y}{\Delta x}$

In this chapter:

The Differential

Differentiation of Algebraic Functions

Meanings of Derivative

Implicit Functions