Find a Formula for the Slope of the Graph Of f

question 18

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. $f ( x ) = 6 - x ^ { 2 } , \quad ( 0,6 )$

• 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) \(\begin{array} { l }
• m = 6 x \\
• \text { At } ( 0,6 ) , m = 0
• \end{array}\)

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Definitions:

Lithification

The conversion of unconsolidated sediment or volcanic ash into a coherent, solid rock, involving processes such as compaction and cementation.

Sedimentary Layers

Layers of rock or soil with internally consistent characteristics that distinguish them from contiguous layers.

Erosion

The method through which natural forces like wind or water cause the erosion and movement of soil, rock, and other materials on the surface.

Contact Metamorphism

Metamorphism resulting from heat and pressure in rocks when they are invaded by magma.