AYT-2026 Matematik 23 . Sorusu İle İlgili Birkaç Not

My aim in making this video is to share some of my thoughts and opinions on a question that has been debated for days. I won't say anything about the solution to the problem, I won't make explanations like "if we use the geometric interpretation of the derivative, this option would be the answer," or "if we use the definite integral, there would be a contradiction here," etc., as there are thousands of similar interpretations already. I will only ask: DOES a function f'(x) and its integral function f(x) that fit the question EXIST OR NOT? Of course, instead of saying yes or no, if it exists, "an example," and if it doesn't, "proof" why it doesn't exist! I researched this and also called on those who have answers on this subject. If a positive example is found, it will be seen that solving the problem "using the geometric meaning of the derivative and the relationship between increasing and decreasing functions" or "using the definite integral" does not contradict each other. If it is proven that f'(x) and f(x) that fit the conditions do not exist, then we can talk about "a contradiction in the data of the problem." I don't know what the outcome will be in these situations... Hopefully, everything will turn out for the best.