1 / 12

7.2The Natural Logarithmic and Exponential Function

7.2The Natural Logarithmic and Exponential Function. Math 6B Calculus II. The Natural Logarithmic Function. The Derivative of y = ln x. Properties of Natural Logarithms. Product Rule Quotient Rule Power Rule Domain and Range. Limits of Natural Logarithms.

jeneil
Download Presentation

7.2The Natural Logarithmic and Exponential Function

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 7.2The Natural Logarithmic and Exponential Function Math 6B Calculus II

  2. The Natural Logarithmic Function

  3. The Derivative of y = ln x

  4. Properties of Natural Logarithms • Product Rule • Quotient Rule • Power Rule • Domain and Range

  5. Limits of Natural Logarithms

  6. The Integrals of 1/x, tan x,and cot x

  7. Logarithmic Differentiation How to Differentiate y = f (x) > 0 by Logarithmic Differentiation • Take the log of both sides of the equation • Differentiate both sides • d/dx (ln y) = 1/y *dy/dx • Solve for dy/dx • Substitute y = f (x)

  8. Laws of Exponents

  9. The Natural Exponential Function

  10. Properties of the Natural Exponential Function

  11. Differentiation of ex

  12. Integration

More Related