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

question 34

Multiple Choice

Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
- $$f ( x ) = 3 x ^ { 2 }$$

• A) \(\frac { 3 \left( 2 x ^ { 2 } + 2 x h + h ^ { 2 } \right) } { h }\)
• B) \(3 ( 2 x + h )\)
• C) 3
• D) \(\frac { 6 } { h } + x + 3 h\)

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