Determine the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = x^3 − 9x^2 + 1

Inc:(-∞,0) and (6,∞) Dec: (0,6)

Step-by-step explanation:

You could also use derivatives or look at the graph:

f'(x)=3x^2-18x

3x^2-18x=0

x=0,6

These are your critical points.

To check if they are really critical points or if they are increasing or decreasing and to see if they aren't inflection points, plug the points back on the equation.

i think it's ф or x=6,-6

step-by-step explanation:

-x^2=-36

x^2=-36

ф

or

if you mean by : -(x^2)=-36

it'll be: x^2=36

x=6,x=-6

hope it'll ! have a good day!

you for asking!

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !