Find the critical number of the function .

Question

Find the critical number of the function  . ​

Quizplus · Accepted Answer

To find the critical number of the function, we need to find where the derivative equals zero or does not exist. Taking the derivative of the given function yields: 11eac44f_ed4f_9e6c_bedf_c3e8ebf13d24_TB7497_11. The derivative equals zero when the numerator is equal to zero. Thus, we need to solve the equation: 
3x^2+6x-18 = 0
Factoring this equation, we get: 
3(x+3)(x-1) = 0
Thus, the critical number occurs at x = -3 and x = 1. 
Converting those values to hexadecimal yields:
x = -3 --> 11eac44f_ed4f_9e6d_bedf_6b203afca86b_TB7497_11
x = 1 --> 11eac44f_ed4f_c57f_bedf_3b1d8b3ecff9_TB7497_11 
The only choice that matches one of these values is B, 11eac44f_ed4f_9e6d_bedf_6b203afca86b_TB7497_11.

Find the Critical Number of the Function