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Simplify the Difference Quotient f(x+h)f(x)h\frac { f ( x + h ) - f ( x ) } { h }

Question 182

Multiple Choice

Simplify the difference quotient: f(x+h) f(x) h\frac { f ( x + h ) - f ( x ) } { h }
- 6x3+66 x ^ { 3 } + 6


A) 18hx2+18xh2+6h318 h x ^ { 2 } + 18 x h ^ { 2 } + 6 h ^ { 3 }
B) x3+18x2+18xh+6h2x ^ { 3 } + 18 x ^ { 2 } + 18 x h + 6 h ^ { 2 }
C) 18x2+18xh+6h2+618 x ^ { 2 } + 18 x h + 6 h ^ { 2 } + 6
D) 18x2+18xh+6h218 x ^ { 2 } + 18 x h + 6 h ^ { 2 }

Correct Answer:

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