Category Archives: Natural Logarithm

Differentiation Technique #1: Logarithmic Differentiation

1. We should recall the chain rule applied to gives us (1) where . So what? Well, if is some nightmarish function (e.g. ), then we have (2). Quite a quick way to compute nightmarish derivatives!

Posted in Calculus, Differential, Natural Logarithm | Tagged | 2 Comments

Natural Logarithm revisited

So recall we introduced the natural logarithm. Integrals interpret the natural logarithm as , and we will explore that in this post.

Posted in Calculus, Definite Integral, Integral, Natural Logarithm | 2 Comments

Natural Logarithm

1. So we introduced the Exponential function and considered the notion of inverse functions and their derivatives. But what is the inverse function for ?

Posted in Exponential Map, Inverse Function Theorem, Natural Logarithm | 3 Comments