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Intervals of increase/ decrease of a function

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    Need help on question 15 on attachment...
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    g is just a cubic polynomial, and you should (from A-level C1 or equivalent) be able to work out where a cubic is increasing and decreasing.
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    How do i get into a function from the matrix, how do you know it's cubic ?
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    Ah Sorry, i don't know what i was thinking, i kept on thinking that's a matrix, rather than the determinant!!

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