My First Berkeley Math Tournament Problem

We will solve my first Berkeley Math Tournament bmt.berkeley.edu/ calculus problem on UC Berkeley Campus. This question is from the calculus part of the 2020 BMT. We are given f'(1)=1 and f(y)-f(x)=x^x/y^yf(y^y/x^x) and we have to find f(2020^2)/f(2020). Since we are given f'(1)=1 and the property shows the difference between the function of two different inputs, we should proceed by using the definition of the derivative to solve this functional equation. Watch the find out the rest!
BMT 2022 will be held on the UC Berkeley campus on Saturday, November 5, 2022!
There will also be an informal asynchronous BMT online for those of you who are unable to make it in person.
For more info: bmt.berkeley.edu/
Past tournament tests & solutions: www.ocf.berkel...
Contact them at [e-mail].
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