for f(x)=x^3 -5x^2 +3x+6, find max, min, points of inflection, intervals where function is increasing or decreasing, concave up, concave down. please show all steps!

Question

turingtest · Answer

use same process as I outlined in the previous question.

turingtest · Answer

http://openstudy.com/?F966990477225HTXENV=_#/updates/4eee0104e4b0367162f5bc09

anonymous · Answer

if the first derivative (the slope) around a point is becoming more positive then you know you have a minimum point, also if your first derivative is decreasing around a point you know you have a maximum point. also, where the slope is equal to zero and you have signs switched on both sides is the inflection point.
if the second derivative (the rate of change of the slope) is positive then the graph is concave upwards, also if your second derivative is negative then the graph is concave downwards.

turingtest · Answer

yes, I describe essentially the same idea in the link.

anonymous · Answer

I'm sorry, I didn't see your link.