Plot the product of two different functions of theta?

Questions
1

Please excuse a newbie. I have a situation that seems to be straightforward, but I can’t seem to find the right keywords to do a productive search.

I’ll describe it in plain language:
I have a function of theta, which I call M, and a different function of theta, which I call C. I would like to plot M*C over a range of theta.
I seem to make syntax errors when I input, and I don’t get a plot. I have tried everything I can think of.

Can anyone show me what to type?

Yes, I can do the plots of each function separately, and I know I could plot the product directly, without defining them as M and C. However,
the functions are not simple, and my report will have plots of MC, MMMC, and other combinations, hopefully without replicating the details of the
complicated functions.

Carl

2

You must show some of what you have already tried and what is not working. Send more detail.

3

Thank you for you response. I realize I should exercise more due diligence before I weigh in here.
Carl

4

Carl, please inspect the attached trivial file from which you probably infer how to deal with exactly your case. Notice that in Mathematica it is not a good idea to let user-defined quantities have names that begin with a capital letter: see what happens if you use C instead of my modified version of it.
Good luck, Ulri

communityB.nb (10.7 KB)

5

Ulrich-
Thanks for the input. I had reached the same conclusion after a little search. What I had wanted to do was
simply “represent” a complicated function with a capital letter. Instead I have to “define” a function, and since, in
Mathematica, caps are used for built-in functions, it may disallow caps for defined functions. Also, it results in
some extra baggage, like using m[x] instead of just m, etc. Of course, you knew all this and I am just catching
up!

Thanks again-
Carl

6

Actually you don’t need ‘function notation’ with ‘[]’ and can work simply with expressions as is done in the appended file.

communityD.nb (10.9 KB)

7

Yes, indeed! That’s where I started, but it wouldn’t work because I used caps.
Thanks for your patience.

Carl