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Differentiate 5x34x2+2\frac { 5 } { x ^ { 3 } - 4 x ^ { 2 } + 2 }

Question 102

Multiple Choice

Differentiate.
-h(x) = 5x34x2+2\frac { 5 } { x ^ { 3 } - 4 x ^ { 2 } + 2 }


A) h'(x) = 15x240xx34x2+2\frac { 15 x ^ { 2 } - 40 x } { x ^ { 3 } - 4 x ^ { 2 } + 2 }
B) h'(x) = 3x28x(x34x2+2) 2\frac { 3 x ^ { 2 } - 8 x } { \left( x ^ { 3 } - 4 x ^ { 2 } + 2 \right) ^ { 2 } }
C) h'(x) = 15x2+40x(x34x2+2) 2\frac { - 15 x ^ { 2 } + 40 x } { \left( x ^ { 3 } - 4 x ^ { 2 } + 2 \right) ^ { 2 } }
D) h'(x) = 5(3x28x) 2\frac { 5 } { \left( 3 x ^ { 2 } - 8 x \right) ^ { 2 } }

Correct Answer:

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