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

question 32

Multiple Choice

Find and simplify the difference quotient $$\frac { f ( a + h ) - f ( a ) } { h } , h \neq 0$$ for the given function.
- $$f ( x ) = \frac { 9 } { x ^ { 2 } }$$

• A) \(\frac { 9 ( 2 a + h ) } { a ^ { 2 } \left( a ^ { 2 } + h \right) }\)
• B) \(\frac { 9 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }\)
• C) \(\frac { - 9 ( 2 a + h ) } { a ^ { 2 } \left( a ^ { 2 } + h \right) }\)
• D) \(\frac { - 9 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }\)

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Definitions:

Weightlifting Categories

The divisions within the sport of weightlifting, typically based on the athletes' body weight, to ensure fairness in competitions.

Weightlifters

Individuals who engage in the sport or activity of lifting weights as a form of physical exercise or in competitive events.

P-value

The probability of obtaining a test statistic at least as extreme as the one that was actually observed, under the assumption that the null hypothesis is true.

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Relating to or in a manner that results in a significant output or contribution, especially in terms of work or economic activity.