mathcalc
posted by mkcolema .
f(x)=2x^336x^2+162x6
small critical number? Large critical number?

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
Respond to this Question
Similar Questions

Math
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 is hard for me to factor the f'(t). Whats the other critical number? 
mathcalc
f(x)=(5x4)e^2x How do you find the one critical number? 
math
An experiment consists of rolling a weighted die. The probability of rolling each number is: Pr[1]=0.2 , Pr[2]=0.15 , Pr[3]=0.25 , Pr[4]=0.15 , Pr[5]=0.05 , and Pr[6]=0.2 . On the first roll, you record if the number is Small (1,2) … 
calculus
I need to find the critical number of 4x^336x^2+96x64 by factoring. Basically I need to know the zeros. 
pre calc
Find the critical number of the function. g(t) =  6t  9  t = 
math
If y= (x^2+20)/(x4) Find all critical Numbers. After get f' i got the answer 5/4. What did i do wrong or is that the critical number? 
Calculus
If y= (x^2+20)/(x4) Find all critical Numbers. After get f' i got the answer 5/4. What did i do wrong or is that the critical number? 
Calculus
The function f(x) = (9 x+2)e^{6 x} has one critical number. Please help me find the critical number! 
MATH!
An experiment consists of rolling a weighted die. The probability of rolling each number is: Pr[1]=0.05, Pr[2]=0.1, Pr[3]=0.25, Pr[4]=0.25, Pr[5]=0.2, and Pr[6]=0.15. On the first roll, you record if the number is Small (1,2) or Large … 
Math for Business Analysis
Let f (x, y) = xy + 5x + 4y model the utility a consumer feels based on the number of the number of cups of coffee, x, and the number of donuts, y, consumed on a given Thursday. Find the absolute maximum and absolute minimum values …