i got into a minor argument with a buddy of mine, he said the derivative of infinity is zero, and i argued that you can't take the derivative of infinity.(adsbygoogle = window.adsbygoogle || []).push({});

my argument was that by definition of derivative there isn't a function that can equal infinity, so you can't take the derivative of it. also, even though infinity isn't a number, theoretically infinity + 1 = infinity so it's increasing, but infinity - 1 = infinity, i.e. you can't find a slope for it at any point.

his argument was that infinity is a constant, so then it is differentiable.

i believe i'm correct but i'm not formally aware as to why, and i was wondering if you guys could give me some insight.

thanks

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# Derivative of infinity

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