This preview shows pages 1–13. 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 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 DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: tangent lines. Derivatives of Exponential Functions Consider d dx f ( x ) where f ( x ) = a x : f ( x ) = lim h ! Since f (0) = lim h ! then f ( x ) = What does this say about the rate of change of any exponential? If a = 2, f (0) = lim h ! If a = 3, f (0) = lim h ! De±nition: e is the number such that lim h ! e h ± 1 h = d dx ( e x ) = 6? ± ex. At what point is the tangent line to f ( x ) = e x parallel to y = 4 x + 1? Find f ( x ) for the following functions: ex. f ( x ) = p x + 3 p x 4 p x ex. g ( x ) = ex 2 + 2 e x + xe 2 + x e 2 ex. h ( x ) = x ln 3 ± ± ln 3 ± e e...
View
Full
Document
This note was uploaded on 02/10/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.
 Spring '08
 ALL

Click to edit the document details