Can you tell me which of the following options is true?
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d x d l n ( x ) = x − 1 , so "If you derive non-polynomials, you will get non-polynomials" is wrong. Also, because d x d s i n ( x ) = c o s ( x ) (and that's meaningful!), and ∞ is not a number, the answer is "If you take the derivative of a polynomial with whole exponents long enough, you will get a constant".