Find all critical numbers of the function
A)critical numbers:
B)critical numbers:
C)critical numbers:
D)critical numbers:
E)no critical numbers

Question

Find all critical numbers of the function 
A)critical numbers: 
B)critical numbers: 
C)critical numbers: 
D)critical numbers: 
E)no critical numbers

Quizplus · Accepted Answer

To find the critical numbers, we need to find the values of x where the derivative of the function is equal to zero or undefined. 
Taking the derivative of the given function, we get: 
11ebbd4d_3ed5_74eb_8a0a_8580ad95b352_TB8202_11' = 3x^2 - 20x + 24 
Setting this equal to zero and solving for x, we get: 
3x^2 - 20x + 24 = 0 
Using the quadratic formula, we get: 
x = (20 ± sqrt(20^2 - 4(3)(24))) / (2(3)) 
x = (20 ± sqrt(16)) / 6 
x = (10 ± 2) / 3 
x = 4/3, 2 
So, the critical numbers are x = 4/3 and x = 2. 
Choice B lists these critical numbers.

Find All Critical Numbers of the Function