http://www.mindbites.com/lesson/832 for full video In this lesson, you will learn how to find the derivative of the natural log function. To start with, we will review exponential functions and the natural logarithmic function, and then you move on to learning about composite functions that include natural log functions. To find the derivative of one of these composite functions, like e^(3x^2), you must combine the fact that the derivative of e^x is e^x and the chain rule. You will also see how to use the natural exponential function to prove why the derivative of f(x) = ln x is equal to 1/x. Last, this lesson will cover how to use the chain rule or the properties of logs to find the derivative of the composition of a natural log function and another function, like finding the derivative of ln(x^3). Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive Algebra course.
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