Find an Equation of the Tangent Line to the Graph $( 3 , - 30 )$

question 115

Multiple Choice

Find an equation of the tangent line to the graph of the following function at the point $( 3 , - 30 )$ .
$$- 3 x ^ { 2 } - 3$$

• A) \(y = - 18 x - 84\)
• B) \(y = - 18 x + 84\)
• C) \(y = - 18 x + 24\)
• D) \(y = 180 x + 570\)
• E) \(y = 180 x - 570\)

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Definitions:

Chemical Equation

A symbolic representation of a chemical reaction, showing the reactants and products with their respective quantities.

Magnesium Oxide

A white hygroscopic solid mineral used as an antacid and mild laxative, and in numerous industrial applications.

Balanced Chemical Equation

An equation that represents a chemical reaction with equal numbers of atoms for each element in both reactants and products.

Reduction

A chemical process involving the gain of electrons or the decrease in oxidation state by a molecule, atom, or ion.