concave up and down

[Blitze105]

Hello i was just wondering if some one could check this for me.

f(x)= x^3 - 3x^2 + 2
f'(x)= 3x^2 - 6x
f''(x)= 6x - 6

Thus the point of inflection is (1,0)

and from (-infinity, 1) is concave down
and from (1,infinity) it is up

 

[Deleted member 4993]

Hello i was just wondering if some one could check this for me.

f(x)= x^3 - 3x^2 + 2
f'(x)= 3x^2 - 6x
f''(x)= 6x - 6

Thus the point of inflection is (1,0)

and from (-infinity, 1) is concave down
and from (1,infinity) it is up

Looks good to me. If it is not a computerized problem - sketch an approximate graph with your answer.