Question 6
Find the intervals in which the following functions are strictly increasing or decreasing: (a) x2 + 2x - 5 (b) 10 - 6 / x - 2x2 (c) -2x3 - 9x2 - 12x + 1 (d) 6 - 9x - x2 (e) (x + 1) 3 (x - 3) 3
SOLUTION
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Find the intervals in which the following functions are strictly increasing or decreasing: (a) x2 + 2x - 5 (b) 10 - 6 / x - 2x2 (c) -2x3 - 9x2 - 12x + 1 (d) 6 - 9x - x2 (e) (x + 1) 3 (x - 3) 3