$\mathit{ln}\left(x\right)$

Base Case: $\mathit{ln}\left(x\right)$

Note :

–          This is the natural log. Spelled L…N. It is a logarithm with a base of e .

–          Keep in mind that as soon as whatever is inside the function, inside the parenthesis, is more than just your basic x , the problem’s primary rule becomes a chain rule. Whatever you replace the x with inside your base special case will become the inside piece of your chain rule.

–          Also, when you apply the chain rule, everywhere you see an x in the $f\prime \left(x\right)$ equations above, you will plug in the full inside piece.

–          You will need to know this table equally as well in both directions, left to right and right to left.