This preview shows pages 1–6. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: MATH 006 Calculus and Linear Algebra (Lecture 18) Albert Ku HKUST Mathematics Department Albert Ku (HKUST) MATH 006 1 / 11 Outline 1 Power Rule 2 Basic Differentiation Properties Albert Ku (HKUST) MATH 006 2 / 11 Power Rule Finding Derivatives using Differentiation Rules Given a function f ( x ), the most primitive way to compute its derivative is to evaluate the limit of its difference quotient, which may be quite difficult if f ( x ) is a complicated expression in x . Therefore, we will develop some differentiation rules to facilitate the computation of derivatives. They are Power rule Product rule Quotient rule Chain rule Albert Ku (HKUST) MATH 006 3 / 11 Power Rule Power Rule In this lecture, we will learn the first and the most basic differentiation rule Power rule: Theorem (Power Rule) If y = f ( x ) = x n where n is a real number, then f ( x ) = nx n 1 . Albert Ku (HKUST) MATH 006 4 / 11 Power Rule Example Find f ( x ) for each of the following functions: (a) f ( x ) = 3 (More generally,...
View
Full
Document
This note was uploaded on 12/28/2010 for the course MATH MATH006 taught by Professor Forgot during the Fall '09 term at HKUST.
 Fall '09
 forgot
 Math, Linear Algebra, Algebra, Derivative, Power Rule

Click to edit the document details