Find the critical number(s), if any, of the function $f(x)=x^{3}-6 x-4$
A) $4$
B) -4
C) $\pm \sqrt{2}$
D) $\pm 2$

Name: Find the critical number(s), if any, of the function $f(x)=x^{3}-6 x-4$ A) $4$ B) -4 C) $\pm \sqrt{2}$ D) $\pm 2$
Brand: Quizplus
Rating: 4.8 (31 reviews)

Question

Quizplus · Accepted Answer

To find the critical numbers, we first find the derivative of the function: $f'(x) = 3x^2 - 6$. Setting the derivative equal to zero gives $3x^2 - 6 = 0$, which simplifies to $x^2 = 2$. Solving for $x$ gives the critical numbers $x = \pm \sqrt{2}$.

Find the Critical Number(s), If Any, of the Function f(x)=x3−6x−4f(x)=x^{3}-6 x-4f(x)=x3−6x−4

Find the Critical Number(s), If Any, of the Function $f(x)=x^{3}-6 x-4$