Question: (d) Consider the function x) : x3 + 3x2 243: + 12. (i) Find the intervals over which the function f (x) is increasing and

(d) Consider the function x) : x3 + 3x2 243: +
12. (i) Find the intervals over which the function f (x) is

(d) Consider the function x) : x3 + 3x2 243: + 12. (i) Find the intervals over which the function f (x) is increasing and the intervals on which it is decreasing. (ii) Find the intervals over which the function f (x) is concave upwards and the intervals on which it is concave downwards. (iii) Determine the points of inection of x). (iv) Sketch f (x) showing all intercepts, turning points and points of inec- tion

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