OK so I am literally writing in between work to report a truly distressing fact: ChatGPT 4o cannot differentiate. It isn't able to do it. And then it's not able to add. This is so pathetic. It's a Sunday and I was feeling lazy and decided to do some proof-reading (like, literally checking my math proofs) via ChatGPT.
It got it wrong. Initially I was distressed to see the chatbot showing an output that differed in a critical way from my calculations. I do make silly mistakes. But I checked and the bot was wrong.
Now you'd say, yes the bot can make mistakes and if you point it out it'll get it right. Two comments. One, this was an elementary mistake. Like it missed a term to differentiate and then forgot to add two terms. Believe me, it was simple. Two, I told it was wrong! I said it 4 times and each time it outputted something incorrect. At one try, maybe because of the pressure it was under, it took the second derivative of one of the terms. It was only when I typed out the correct derivative and the right expression was when it printed out the same thing and said I was right.
Look this may get better and all that but God help anyone who is using it for their actual work, students or researchers.
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