A curve is given by the equation $y = x^3 - 9x^2 - 48x$.
(a)[2]
Differentiate the expression $x^3 - 9x^2 - 48x$.
(b)[4]
Find the coordinates of the turning points on the graph of $y = x^3 - 9x^2 - 48x$. Show all your working.
(c)[3]
Determine whether each turning point is a maximum or a minimum, and justify your answers.
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