Use the first derivative to find all critical points and use the second derivative to find all inflection points. Use a graph to identify each critical point as a local maximum, a local minimum, or neither.

f(x)=2x³+3x²36x+9

Enter the exact answers in increasing order. If there is no answer, enter "NA". Choose from multiple choice for second part of answer. Be sure to answer all parts including two critical points and the point of inflection.

The critical point atx=___________is___________.

a. a local minimum

b. neither maximum nor minimuma

c. local maximum

The critical point atx=___________is___________.

a. a local minimum

b. neither maximum nor minimuma

c. local maximum

The inflection point isx=___________.