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

Question 52

Multiple Choice

Simplify the difference quotient: f(x+h) f(x) h\frac { f ( x + h ) - f ( x ) } { h }
- x43x21x ^ { 4 } - 3 x ^ { 2 } - 1


A) 4x3h+6x2h2+4xh3+h46x2h+h24 x ^ { 3 } h + 6 x ^ { 2 } h ^ { 2 } + 4 x h ^ { 3 } + h ^ { 4 } - 6 x ^ { 2 } h + h ^ { 2 }
B) x4+4x3+6x2h+4xh2+h36x2+hx ^ { 4 } + 4 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x ^ { 2 } + h
C) 4x3+6x2h+4xh2+h36x3h4 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x - 3 h
D) 4x3+6x2h+4xh2+h36x2+h14 x ^ { 3 } + 6 x ^ { 2 } h + 4 x h ^ { 2 } + h ^ { 3 } - 6 x ^ { 2 } + h - 1

Correct Answer:

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