Chapter 05 · Derivatives
05.11
Derivatives of Logarithmic Functions
The derivative of ln x is 1/x, found by differentiating the inverse of eˣ. Then ln|x|, the chain rule, log laws, and logs to other bases.
About 35 minutes
You'll learn to
- →Derive (ln x)' = 1/x from the derivative of eˣ
- →Differentiate ln|x| and ln g(x) with the chain rule
- →Simplify with log laws before differentiating
- →Differentiate logₐ x for any base a