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Find a Formula for the Slope of the Graph Of f

Question 76

Multiple Choice

Find a formula for the slope of the graph of ff at the point (x,f(x) ) ( x , f ( x ) ) .Then use it to find the slope at the given point. f(x) =1x+4,(3,1) f ( x ) = \frac { 1 } { x + 4 } , \quad ( - 3,1 )


A) m=1(x+4) 2 At (3,1) ,m=1\begin{array} { l } m = \frac { 1 } { ( x + 4 ) ^ { 2 } } \\\text { At } ( - 3,1 ) , m = 1\end{array}
B) m=1(x+4) 2 At (3,1) ,m=1\begin{array} { l } m = - \frac { 1 } { ( x + 4 ) ^ { 2 } } \\\text { At } ( - 3,1 ) , m = 1\end{array}
C) m=1(x+4) 2 At (3,1) ,m=1\begin{array} { l } m = \frac { 1 } { ( x + 4 ) ^ { 2 } } \\\text { At } ( - 3,1 ) , m = - 1\end{array}
D) m=1(x+4)  At (3,1) ,m=1\begin{array} { l } m = - \frac { 1 } { ( x + 4 ) } \\\text { At } ( - 3,1 ) , m = - 1\end{array}
E) m=1(x+4) 2 At (3,1) ,m=1\begin{array} { l } m = - \frac { 1 } { ( x + 4 ) ^ { 2 } } \\\text { At } ( - 3,1 ) , m = - 1\end{array}

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