Originally Posted by
oceanmd Please help with the graph analysis
f(x)=x^3-3x^2+3
1.First derivative 3x^2-6x
2. intervals where f is increasing. 3x^2-6x=0, x=0, x=2 Function is increasing from -infinity to 0 and from 2 to infinity
3. decreasing (0,2)
4. local max point (0,3)
5. local min point (2,-1)
6. second derivative 6x-6
I hope everything until now is correct
7. inflection point 6x-6=0, x=1 Is it correct to say that at x=1 function changes from concave down to concave up?
8. what are the intervals where function is concave up and concave down?
Thank you very much