Exponential Functions - Derivative Example 2

 

Exponential Functions - Derivative Example 1

Finding the derivative of exponential functions.
Post any questions in the comments.

 

The Natural Logarithm - Logarithmic Differentiation Example 6

Calculus
How do you do logarithmic differentiation?
Below is example 6.
Post any questions in the comments.
http://simplecalc.blogspot.com

 

The Natural Logarithm- Logarithmic Differentiation Example 5

Post any questions in the comments

The Natural Logarithm - Logarithmic Differentiation Example 4

Sometimes the trickiest part of Logarithmic Differentiation is dealing with the f(x) symbol. Remember the rules apply to ln(f(x)) the same as they do to ln(x).
Below is a step by step example of how to do a simple Logarithmic Differentiation. More complicated examples will be uploaded shortly.

Post any questions in the comments and I will try to answer as quickly as possible.

Log Ex4

The Natural Logarithm - Integration Example 3

 

The Natural Logarithm - Integrals involving the natural logarithm Example 2

If you have not seen example 1 please refer to it before proceeding.
Integrating the Natural Logarithm often involves substituting and rearranging the function in order to get it to resemble the form 1/x 

Usually 'u' substitution is used to do so.

http://en.wikipedia.org/wiki/Natural_logarithm#The_natural_logarithm_in_integration

http://en.wikipedia.org/wiki/Natural_logarithm#The_natural_logarithm_in_integration

Below are two separate problems that deal with integration of the logarithmic function.

Don't forget to add the constant at the end of every indefinite integral.
Double Click on Image to make it larger.