00:01
Alright, this question asks, explain why the natural logarithmic function y equals natural log of x is used much more frequently in calculus than the other logarithmic functions y equals log base b of x.
00:18
Well, hopefully we know that the natural logarithm really is our log function, just base e.
00:25
And because of the natural logarithmic base e, we can use a natural logarithm.
00:34
And our functions y equals e to the x and natural log of y equals natural log of x, they are inverses of one another.
00:43
And then, if we know the derivative of e to the x, right, so if we're looking for the derivative of e to the x, well, the derivative is, whoopsie, i meant to, there we go, the derivative of e to the x is simply e to the x...