Download presentation

Presentation is loading. Please wait.

Published byRickey Lucken Modified over 10 years ago

1
Unit 6

2
For x 0 and 0 a 1, y = log a x if and only if x = a y. The function given by f (x) = log a x is called the logarithmic function with base a. Every logarithmic equation has an equivalent exponential form: y = log a x is equivalent to x = a y A logarithmic function is the inverse function of an exponential function. Exponential function:y = a x Logarithmic function:y = log a x is equivalent to x = a y A logarithm is an exponent!

3
The function defined by f(x) = log e x = ln x is called the natural logarithm function. y = ln x (x 0, e 2.718281 ) y x 5 –5 y = ln x is equivalent to e y = x In Calculus, we work almost exclusively with natural logarithms!

7
Derivative of Logarithmic Functions The derivative is Example: Solution: Notice that the derivative of expressions such as ln|f(x)| has no logarithm in the answer.

11
Product Rule

16
Finding the anti-derivative using natural logs is fun, fun, fun

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google