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) $3 x ^ { 2 } + 3 x h + h ^ { 2 }$

Question

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) $3 x ^ { 2 } + 3 x h + h ^ { 2 }$

Quizplus · Accepted Answer

The Answer of 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) $3 x ^ { 2 } + 3 x h + h ^ { 2 }$

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

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