For the given function,find all critical numbers.

A)
B)
C)
D)
E)

Question

​For the given function,find all critical numbers. ​
​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

To find the critical numbers, we need to find the values of x where the derivative of the function equals zero or the derivative is undefined. 
Taking the derivative of the given function, we get:

f'(x) = 2x - 4

Setting this equal to zero and solving for x,

2x - 4 = 0

2x = 4

x = 2

Therefore, x = 2 is the critical number. 
Option D contains x = 2 as a choice, making it the correct answer.

​For the Given Function,find All Critical Numbers. ​

For the Given Function,find All Critical Numbers.