• anonymous
f(x) = 6 + 3x - x3 intervals of increase and decrease. local max and mins. f concave up and concave down. inflection points of f
  • Stacey Warren - Expert
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  • katieb
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  • anonymous
1) derive to find the critical numbers 2) susbtitute them in the original function to get the local min & max 3) draw a table putting x, f(x) and f'(x) on one side and the x's on a row. Test them from the left of 0, and from the right of 0, ( don't forget to put your critical numbers) then if your sign is (-) then f'(x) is decreasing, if it's (+) f'(x) is increasing 4)derive once more to find the inflection numbers 5) draw a table (same thing with the critical numbers) but this time if it's - , it's concaved down and if it's + it's concaved up Follow these steps and you'll be alright ^_^ because it'll take more than just 10 mins to solve such question. Good luck! Hope you understand the steps :)

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