Find a formula for the slope of the graph of $f$ at the point $( x , f ( x ) )$ .Then use it to find the slope at the given point. $f ( x ) = 6 - x ^ { 2 } , \quad ( 0,6 )$
A) $\begin{array} { l }
m = 2 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$
B) $\begin{array} { l }
m = - 2 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$
C) $\begin{array} { l }
m = 37 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$
D) $\begin{array} { l }
m = 12 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$
E) $\begin{array} { l }
m = 6 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$

Question

Find a formula for the slope of the graph of $f$ at the point $( x , f ( x ) )$ .Then use it to find the slope at the given point.   $f ( x ) = 6 - x ^ { 2 } , \quad ( 0,6 )$ 
A) $\begin{array} { l } 
m = 2 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$  
B) $\begin{array} { l } 
m = - 2 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$  
C) $\begin{array} { l } 
m = 37 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$  
D) $\begin{array} { l } 
m = 12 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$  
E) $\begin{array} { l } 
m = 6 x \
\text { At } ( 0,6 ) , m = 0
\end{array}$

Quizplus · Accepted Answer

The slope of the graph of $f(x) = 6 - x^2$ is found by taking the derivative of $f$ with respect to $x$, which gives $f'(x) = -2x$. At the point $(0,6)$, the slope $m = -2(0) = 0$.

Find a Formula for the Slope of the Graph Of f