# L19 - f x = x n then 9 Notes a b constants d dx a b = d dx...

This preview shows pages 1–13. Sign up to view the full content.

L19 – Derivatives of Logarithmic Functions d dx log a ( x ) = Let y = log a ( x ) d dx ln( x ) = 1

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

View Full Document
By the Chain Rule d dx ln( g ( x )) = d dx ln( u ) = Find f 0 ( x ) if f ( x ) = ln(cot( x )). 2
Find d dx (ln( x )) 3 Find d dx log 3 (3 x - e - 3 x ) 3

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

View Full Document
Find f 0 ( x ) if f ( x ) = ln r x 2 + 2 x 2 x - 6 . 4
Find d dx ln(ln( x 2 + 5 x )) 5

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

View Full Document
Find f 0 ( x ) if f ( x ) = ln | x | . 6
Logarithmic Diﬀerentiation 1. 2. 3. 7

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

View Full Document
Find the slope of the tangent line to y = 3 x 3 - 8 x - 8 e x 2 cos 2 ( x ) at x = 0. 8
Power Rule – If n is any real number and

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

View Full Document

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: f ( x ) = x n , then 9 Notes: a , b constants d dx a b = d dx [ f ( x )] b = d dx a g ( x ) = d dx [ f ( x )] g ( x ) = 10 Diﬀerentiate: y = x ln( x ) y = (ln( x )) e x 11 y = e x ln( x ) y = 3 4 x y = 4 6 x-cos( x ) 12 Find lim x → (1 + x ) 1 x . 13...
View Full Document

## This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

### Page1 / 13

L19 - f x = x n then 9 Notes a b constants d dx a b = d dx...

This preview shows document pages 1 - 13. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online