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How do you use derivatives to categorise stationary points?

To differentiate a simple equation: y= 4x^3 + 7x

Make y the subject of the formula x = SQRT((y+1)/(y-2))

Rationalise and simplify (root(3) - 7)/(root(3) + 1) . Give your answer in the form a + b*root(3) where a, b are integers.

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