- #1

karush

Gold Member

MHB

- 3,269

- 5

$\text{Find the extrema of $f(x, y, z) = x + yz$ on the line defined by}$

$$\text{$x = 8(2 + t), y = t - 8,$ and $z = t+ 2$.}$$

$\text{Classify each extremum as a minimum or maximum.}$

\begin{align*} \displaystyle

&

\text{Book answer}=\color{red}{\text{$(8, -9, 1)$, minimum}}

\end{align*}

$\textit{ok not sure how you take derivative of $f(x,y,z)$ to set it to zero}$

$\tiny{x4.6}$

$$\text{$x = 8(2 + t), y = t - 8,$ and $z = t+ 2$.}$$

$\text{Classify each extremum as a minimum or maximum.}$

\begin{align*} \displaystyle

&

\text{Book answer}=\color{red}{\text{$(8, -9, 1)$, minimum}}

\end{align*}

$\textit{ok not sure how you take derivative of $f(x,y,z)$ to set it to zero}$

$\tiny{x4.6}$

Last edited: