Unclear about the problem 5

[JuneZzj]

@rickecon Hi Dr. Rick,
As I read the problem 5 in the Differential section, I am not sure about which kind of function we are supposed to write. Shall we define a single function which accepts an arbitrary function and calculate its Jacobian matrix (i.e. the parameter can be either "x" or anything else)? Or we can write a set of functions and separate the assignment of assigning the function and the assignment of assigning float h and a point x. I am thinking about whether we need to consider the special case where the unknown parameter should be observed by the function itself. A similar question can be applied to other problems in this problem sets. Are we suppose to consider all the possible cases of the function format and their unknown variables? Thanks.

[rickecon]

@JuneZzj . In problem 5 in the Numerical Differentiation part of the assignment, you need two write at least two functions--one function that maps R^N to R^M, and one function that takes the three arguments and calculates the Jacobian. The second paragraph of the problem describes the first function you need to write that maps R^N to R^M. In this case, it maps R^2 into R^2.

[rickecon]

@JuneZzj . Oops, I found an error in my previous response and just updated it. The last sentence of my response used to incorrectly read,

In this case, it maps R^2 into R^1.

I have now updated it to correctly read,

In this case, it maps R^2 into R^2.