That requires neither engineering-level math nor paper nor patience. All you need is the chain rule and some basic knowledge of sine and cosine:

The derivative of cos is -sin, but because of the 6x you get an extra factor 6. The sine function is periodic on 2pi, so sin(6*2pi + pi/2) = sin(pi/2) = 1. So the result is -36

Plot twist: the products were placed by competing brands because they knew the product placement would backfire

No, not at all. There was also Quinn who won a Gold medal at the same Olympics. And Laurel Hubbard won silver at the World Championships and gold twice at the Commonwealth Games but was 43 years old by the time of the Tokyo Olympics.

Additionally, you have to consider that the current rules regarding trans athletes are only in place since 2015. Before it was required to undergo sexual reassignment surgery and have your gender legally changed. And even after the changes, many trans athletes couldn’t compete at the Olympics because the governing bodies of their sport are more restrictive. So even if trans athletes have a “big advantage”, there are plenty ways to explain their lack of presence at the Olympics.

That’s just factually incorrect. Laurel Hubbard qualified for and competed at the Tokyo Olympics.