Compute and Simplify the Difference Quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$

question 327

Multiple Choice

Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
- $$f ( x ) = 9 x ^ { 2 } + 5 x$$

• A) \(27 x - 11 h + 10\)
• B) \(18 x + 5\)
• C) \(18 x ^ { 2 } + 9 h + 5 x\)
• D) \(18 x + 9 h + 5\)

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Definitions:

Implicit Memory

The system for long-term storage of unconscious memories that cannot be verbally described.

Levels of Processing Model

A theory suggesting that the depth (shallow to deep) of mental processing affects memory recall, with deeper processing leading to better recall.

Elaborative Rehearsal

A memory technique that involves thinking about the meaning of the term to be remembered, as opposed to merely repeating the word to oneself.

Maintenance Rehearsal

A process of repetitively verbalizing or thinking about information to be remembered, thereby keeping it in working memory longer.