Expand the Following Expression in the Difference Quotient and Simplify $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0 . f ( x ) = \frac { 5 } { 2 x }$$

question 92

Multiple Choice

Expand the following expression in the difference quotient and simplify.
$$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0 . f ( x ) = \frac { 5 } { 2 x }$$

• A) \(\frac { 5 } { 2 \left( x ^ { 2 } + h \right) }\)
• B) \(- \frac { 5 } { 2 ( x + h ) ^ { 2 } }\)
• C) \(- \frac { 5 } { 2 x ( x + h ) }\)
• D) \(\frac { 5 } { 2 ( x + h ) }\)
• E) \(- \frac { h } { x ( x + h ) }\)

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