It's easy... calculus

Calculus Level 2

Can you tell me which of the following options is true?

If you derive non-polynomials, you will get non-polynomials You can only derive polynomials and get a meaningful result Infinity is a number like any other If you take the derivative of a polynomial with whole exponents long enough, you will get a constant

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1 solution

Eric Hernandez
Aug 3, 2014

d l n ( x ) d x = x 1 \frac{d ln(x)}{dx} = x^{-1} , so "If you derive non-polynomials, you will get non-polynomials" is wrong. Also, because d s i n ( x ) d x = c o s ( x ) \frac{d sin(x)}{dx} = cos(x) (and that's meaningful!), and \infty 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".

@Eric Hernandez nice problem and solution

Mardokay Mosazghi - 6 years, 8 months ago

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