Umm Al-Qura University بسم الله الرحمن الرحيم Umm Al-Qura University Health Sciences College at Al-Leith Department of Public Health Lecture (3)

Derivatives

Objectives: 1/ Know Definition of Derivatives. 2/ Define Derivatives Lows . 3/ Calculate Derivatives of Functions by using Lows.

Symbols for the derivative of the function f(x) :

Derivative from first principles

Example: differentiate f(x) = from first principles

Example

Exercise Find the derivatives of the following functions from first principles f(x) = 3x f(x) = x - 2

differentiation rules

Example 2:

Very Important

Example 3:

Example 4:

Example:

Example:

Example:

Examples for the power rule

Example:

Thanks Radia