ASK YOUR TEACHER

Consider the following function.

$f(x)=x^3-3x^2-6x5$

Find the first and second derivatives.

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

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

Find any values of $c$ such that $f^{\text{'}\text{'}}(c)=0.($Enter your answer as a commaDNE$)$

$c=$

Find the interval$($s$)$ on which $f$ is concave up$.($Enter your answer using int

$$

Find the interval$($s$)$ on which $f$ is concave down. $($Enter your answer using if

$$

Find the inflection point of $f.$

$(x,y)=()$

Need Help? $$

$9.[-/3$ Points$]$

SCALCET$94\mathrm{.}3\mathrm{.}022.$