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

question 92

Multiple Choice

Find and simplify the difference quotient $$\frac { f ( a + h ) - f ( a ) } { h } , h \neq 0$$ for the given function.
- $$f ( x ) = \frac { 1 } { 2 x }$$

• A) \(\frac { - 1 } { 2 a ( a + h ) }\)
• B) 0
• C) \(\frac { 1 } { 2 a }\)
• D) \(\frac { - 1 } { a ( a + h ) }\)

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