Find a Formula for the Slope of the Graph Of f

question 167

Multiple Choice

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. $f ( x ) = x ^ { 3 } , \quad ( - 5 , - 125 )$

• A) \(\begin{array} { l }
• m = 3 x ^ { 2 } \\
• \text { At } ( - 5 , - 125 ) , m = 75
• \end{array}\)
• B) \(\begin{array} { l }
• m = - 3 x ^ { 2 } \\
• \text { At } ( - 5 , - 125 ) , m = 75
• \end{array}\)
• C) \(\begin{array} { l }
• m = 3 x ^ { 2 } \\
• \text { At } ( - 5 , - 125 ) , m = - 75
• \end{array}\)
• D) \(\begin{array} { l }
• m = 3 x \\
• \operatorname { At } ( - 5 , - 125 ) , m = 75
• \end{array}\)
• E) \(\begin{array} { l }
• m = - 3 x ^ { 2 } \\
• \text { At } ( - 5 , - 125 ) , m = - 75
• \end{array}\)

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