f(x)=2x^3-36x^2+162x-6

small critical number? Large critical number?

1 answer

I'm going to guess that the question is asking for the maximum and minimum of the cubic.

Simply find f'[x] = 0 and you will find 2 values for x. To find which is the max and min find f''[x]. and put in the two different values you got [say x1 and x2] and if f''[x1]>0 it's a minimum and if f''[x1]<0 it's a maximum. The same goes for x2.

Hope that helps
Similar Questions
  1. The critical numbers of the function:f(t)=7t^(2/3)+t^(5/3) f'(t)=14/3t^(-1/3)+(5/3)t^(2/3) I got 0 as a critical number but it
    1. answers icon 1 answer
  2. If y= (x^2+20)/(x-4) Find all critical Numbers.After get f' i got the answer -5/4. What did i do wrong or is that the critical
    1. answers icon 1 answer
  3. If y= (x^2+20)/(x-4) Find all critical Numbers.After get f' i got the answer -5/4. What did i do wrong or is that the critical
    1. answers icon 0 answers
    1. answers icon 1 answer
more similar questions