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

question 345

Multiple Choice

Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
- $$f ( x ) = 8 x ^ { 2 }$$

• A) \(8 ( 2 x + h )\)
• B) \(\frac { 16 } { h } + x + 8 h\)
• C) \(\frac { 8 \left( 2 x ^ { 2 } + 2 x h + h ^ { 2 } \right) } { h }\)
• D) 8