{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Chapter11.4 - Chapter 11.4 Page 613 Theorem 1 29 1 x f x f...

This preview shows pages 1–2. 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: Chapter 11.4 Page 613 Theorem 1: [ ] ( 29 [ ] ) ( ' ) ( ) ( 1 ' x f x f n x f n n × × =- Example 3. Find the derivatives for the following functions: (A) 4 ) 1 3 ( ) ( + = x x f 3 3 1 4 4 ) 1 3 ( 12 ) 3 ( ) 1 3 ( 4 )' 1 3 ( ) 1 3 ( 4 ]' ) 1 3 [( ) ( ' + = × + × = + × + × = + =- x x x x x x f (B) 7 3 ) 4 ( + = x y 6 3 2 2 6 3 ' 3 1 7 3 7 3 ) 4 ( 21 ) 3 ( ) 4 ( 7 ) 4 ( ) 4 ( 7 ]' ) 4 [( ' + = × + × = + × + × = + =- x x x x x x x y (C) ( 29 ( 29 ( 29 ( 29 [ ] ( 29 ( 29 ( 29 ( 29 ( 29 4 2 4 2 2 1 3 2 ' 3 2 3 2 3 2 4 3 6 1 2 4 3 ' 4 4 3 4 4 4 1 + +-- = + × + + ×- = + + × + + ×- = + + = + + = + +----- t t t t t t t t t t t t t t dt d t t dt d Example. Find an equation of the tangent line at x = 2 for 12 2 ) ( 2 + = x x x f . The derivative , rule product x x x x x f _ )' 12 2 ( 12 2 )' ( ) ( ' 2 2 ⇐ + + + = Rule Chain x x x x x x x x x _ ] )' 12 2 ( ) 12 2 ( 2 1 [ ) 12 2 ( 2 ]' ) 12 2 [( ) 12 2 ( 2 1 2 1 2 2 1 2 1 2 2 1 ⇐ + × + × + + = + + +...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

Chapter11.4 - Chapter 11.4 Page 613 Theorem 1 29 1 x f x f...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online