The question is "what's the differential of sine function?" And the answer from Gemini is cosine function. Very precise and accurate answer. I will rate a 5 stars to this response.
I asked Gemini to give an introduction to Maxwell equations and explain each terms in the equation. Overall it gives reasonable answers to explain Maxwell equations are a set of four equations. But It will be nice if the equation itself is provided before explaining the term. So Maybe it lacks of generation of the latex code of maxwell equation?
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