Plotting Data from Lists, Using More Mathematica Functions

Note that the options are written as Rules.

By going into the Help Browser, you can see that the output of FindMinimum is a list, the first element of which is the functions minimum value, and the second is a Rule specifing where the minimum occurs.

Lets try and do the above the hard way. I will use Nest to recursively apply the function 4 times (I am just using a shorthand here, we can ignore the use of Nest for this course...). You can see that it works. Don't worry about it, but if you want to know about it, use the Help Browser to get information about Nest and Pure Functions.

Take it derivative and set equal to zero...

Finding the zero of this will not be easy.... but FindRoot claims it can do it...