Derivative of Natural Log Functions | Calculus Lesson 42 – JK Math

How To Find the Derivative of Natural Log Functions (Calculus Lesson 42)

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In this lesson we learn how to take the derivative of the natural log function. We briefly review what the natural log function is, as well as some of its properties that may be useful in calculus, and then we look at the rules for taking the derivative of natural log functions. We look at many examples throughout the video to see the derivative rules in action.

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Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 What is the Natural Log Function?
1:06 Properties of Natural Log Functions
3:30 Derivative of Natural Log Functions
4:56 Example 1 – ln(x^3)
8:09 Example 2 – ln(x+8)
9:20 Example 3 – ln(2x^2+3)
10:20 Example 4 – ln(5x+2-x^3)
11:31 Example 5 – ln(2x/(x+6))
14:37 Example 6 – ln(x^(1/3))
15:43 Example 7 – (ln(x))^(1/4)
17:56 Example 8 – ln(abs(sin(x)))

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