commit 6af8713e6ac446cb48b48263603019513efda807 parent 060514f4a1c221916e9ba21daf360d0ac56f4f03 Author: Andrew <andrewlaack1@gmail.com> Date: Sun, 7 Jul 2024 22:17:27 -0500 notes Diffstat:
| A | Calculus.md | | | 7 | +++++++ |
| A | NaturalLog.md | | | 22 | ++++++++++++++++++++++ |
| M | index.md | | | 1 | + |
3 files changed, 30 insertions(+), 0 deletions(-)
diff --git a/Calculus.md b/Calculus.md @@ -0,0 +1,7 @@ +:index: :calc: +# Calculus (Links) + + +## Main Links + +[[NaturalLog.md]] diff --git a/NaturalLog.md b/NaturalLog.md @@ -0,0 +1,22 @@ +:calc: +# Natural Log + +## Notes + +**Definition:** The natural log (ln) is an expression stating the output of the logarithm function is the value such that e^x is equal to the value being taken as the input. + + +When working with ln we have the following options for algebraic manipulations: + +1. Division becomes subtraction + - ln(x/y) -> ln(x) - ln(y) +2. Multiplication become addition + - ln(xy) -> ln(x) + ln(y) +3. Exponents can be pulled out + - ln(x^2) -> 2ln(x) + +There are no other rules for manipulations so there are times when we are limited in our reduction of equations such as when we are adding together values in the logarithm as this will then not allow us to pull out any of our exponents. + +d/dx ln(|x|) = 1/x + +The |x| is only neccesary for functions that cross into the negative x values. diff --git a/index.md b/index.md @@ -20,6 +20,7 @@ This is the index for my main note classifications. I will maintain this as a ho [[LinuxStuff.md]] [[ModelNotes.md]] [[LinearAlgebra.md]] +[[Calculus.md]] ## Technology Books to Read