Expand the Expression in the Difference Quotient and Simplify $\frac { f ( x + h ) - f ( x ) } { h }$

question 50

Multiple Choice

Expand the expression in the difference quotient and simplify.​ $\frac { f ( x + h ) - f ( x ) } { h }$ Difference quotient $f ( x ) = ( x ) ^ { 3 }$ ​

• A) \(\frac { 3 x ^ { 2 } + 3 x h + h ^ { 2 } } { h }\)
• B) \(3 x ^ { 2 } - 3 x h - h ^ { 2 }\)
• C) \(\frac { 3 x ^ { 2 } + 3 x h - h ^ { 2 } } { h }\)
• D) \(3 x ^ { 2 } + 3 x h - h ^ { 2 }\)
• E) \(3 x ^ { 2 } + 3 x h + h ^ { 2 }\)

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