# chapter3 - MATH1010U: Chapter 3 1 DIFFERENTIATION RULES...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH1010U: Chapter 3 1 DIFFERENTIATION RULES Derivatives of Polynomials and Exponential Functions(3.1,p183) Recall: Last day, we learned how to find the derivative from first principles. Now, let’s consider some useful rules to help us do differentiation. Derivative of a Constant Function: ) ( = c dx d The Power Rule (General Version): If n is any real number, then 1 ) ( − = n n x n x dx d The Constant Multiple Rule: If c is a constant and f is a differentiable function, then ) ( )) ( ( x f dx d c x f c dx d ⋅ = ⋅ The Sum Rule: If f and g are both differentiable, then [ ] ) ( ) ( ) ( ) ( x g dx d x f dx d x g x f dx d + = + The Difference Rule: If f and g are both differentiable, then [ ] ) ( ) ( ) ( ) ( x g dx d x f dx d x g x f dx d − = − Now that we know how to differentiate polynomials, let’s consider some other functions, e.g. the exponential function. Exponential Function Recall: Earlier in the course, we introduced the exponential function. MATH1010U: Chapter 3 2 Question:...
View Full Document

## This note was uploaded on 09/13/2008 for the course MATH 1010u taught by Professor Kim during the Spring '08 term at Trinity University.

### Page1 / 5

chapter3 - MATH1010U: Chapter 3 1 DIFFERENTIATION RULES...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online