MAT 1221 Survey of Calculus Section 4.5 Derivatives of Logarithmic Functions

Expectations Show formula steps For problem 2 Formally answer the question in full sentence Pay attention to the units

Natural Logarithmic Functions Log. Functions are defined as the inverse function of the exponential functions.

Natural Logarithmic Functions Log. Functions are defined as the inverse function of the exponential functions. In particular, and

Natural Logarithmic Functions Log. Functions are defined as the inverse function of the exponential functions. In particular, and Bad Notation: is incorrect since ln is a function not a number

Graph

Other Properties (You have learned these from a previous class … )

Calculator Locate the natural log. function in your calculator. Compute the value of

Applications

Formula

Example 1

Remark (Need this later…)

Example 2

Example 3

Example 4

Expectations If possible, simplify the functions before taking derivatives. Simplify the answers.