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Find and Simplify the Difference Quotient f(x+h)f(x)h,h0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0

Question 34

Multiple Choice

Find and simplify the difference quotient f(x+h) f(x) h,h0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0 for the given function.
- f(x) =3x2f ( x ) = 3 x ^ { 2 }


A) 3(2x2+2xh+h2) h\frac { 3 \left( 2 x ^ { 2 } + 2 x h + h ^ { 2 } \right) } { h }
B) 3(2x+h) 3 ( 2 x + h )
C) 3
D) 6h+x+3h\frac { 6 } { h } + x + 3 h

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