which type of critical point, if any, is present in the graph of f(x)=x^3-1

Question

anonymous · Answer

i think its minimum

campbell_st · Answer

well is this a calculus question..?

campbell_st · Answer

if it is a calculus question your need to 

1. find the 1st derivative

2. solve the 1st derivative for x... this gives the stationary points or critical values

3. find the 2nd derivative

4. test the solution from step 2 in the 2nd derivative to see the type of stationary point you have

campbell_st · Answer

Oh, and its not a minimum

michele_laino · Answer

Hint:
the graph of the function$f(x)=x^3-1$ is a cubic parabola:
|dw:1445115636337:dw|

xapproachesinfinity · Answer

that function has bo min or max

xapproachesinfinity · Answer

find the second derivative to see what kind of point it is called

xapproachesinfinity · Answer

hint: where the slope changes from positive to negative or vice versa (speaking for slope of the first derivative)

xapproachesinfinity · Answer

no idea?

xapproachesinfinity · Answer

what does it mean for f''(c)=0?

xapproachesinfinity · Answer

do you know about inflection point