An Important Calculation in Calculus Is the Evaluation of the Expression

question 137

Multiple Choice

An important calculation in calculus is the evaluation of the expression $$\frac { f ( x + h ) - f ( x ) } { h } , \text { where } h \neq 0 \text {. Find } \frac { f ( x + h ) - f ( x ) } { h }$$
- $$f ( x ) = - 14 - 5 x$$

• A) \(\frac { - 5 h - 28 } { h }\)
• B) \(\frac { 5 h - 28 } { h }\)
• C) 5
• D) \(- 5\)

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Definitions:

Reasonable Mechanism

A scientifically plausible explanation detailing the steps and interactions leading to the formation of products in a chemical reaction.

Di-sec-Butyl Ether

An ether compound formed by the dehydration reaction between two sec-butyl alcohol molecules, used as a solvent and chemical intermediate.

Butan-2-ol

An alcohol with the chemical formula C4H10O, characterized by having its hydroxyl group (-OH) on the second carbon of a four-carbon chain.

Sulfuric Acid

A highly corrosive strong mineral acid with the molecular formula H2SO4, widely used in industry.