Determine all critical points for the function.
-$$f ( x ) = x ^ { 2 } + 6 x + 9$$
A) $x = 3$
B) $x = - 3$
C) $x = 0$
D) $x = - 6$

Question

Quizplus · Accepted Answer

To find the critical points of the function $f(x) = x^2 + 6x + 9$, we first find its derivative: $f'(x) = 2x + 6$. Setting the derivative equal to zero gives $2x + 6 = 0$, which simplifies to $x = -3$. This is the only critical point of the function.

Determine All Critical Points for the Function f(x)=x2+6x+9f ( x ) = x ^ { 2 } + 6 x + 9f(x)=x2+6x+9

Determine All Critical Points for the Function $f ( x ) = x ^ { 2 } + 6 x + 9$