Consider the function.

$f(x)=x^3-6x^{2}9$

Find $f^{\text{'}}(x).$

$f^{\text{'}\text{'}}(x)=$

$$

Find $f^{\text{'}\text{'}}(x).$

$f^{\text{'}\text{'}}(x)=$

$$

Find $f^{\text{'}\text{'}}(-7)$ and $f^{\text{'}\text{'}}(7).$

$f^{\text{'}\text{'}}(-7)=$

$f^{\text{'}\text{'}}(7)=$

Determine whether the function $f(x)$ is concave up or concave down at the indicated points

$($a$)x=-7$

concave up

concave down

$($b$)x=7$

concave up

concave down