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) \(\frac { - 9 ( 2 a + h ) } { a ^ { 2 } ( a + h ) ^ { 2 } }\)