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 Derivative by Δ-Method
The Differential
Differentiation of Algebraic Functions
Meanings of Derivative
Implicit Functions
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