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Using Implicit Differentiation On x33xy+y3=6,yx ^ { 3 } - 3 x y + y ^ { 3 } = 6 , y\prime

Question 5

Multiple Choice

Using implicit differentiation on x33xy+y3=6,yx ^ { 3 } - 3 x y + y ^ { 3 } = 6 , y\prime is


A) y2xyx2\frac { y ^ { 2 } - x } { y - x ^ { 2 } }
B) xy2yx2\frac { x - y ^ { 2 } } { y - x ^ { 2 } }
C) x2yy2x\frac { x ^ { 2 } - y } { y ^ { 2 } - x }
D) yx2y2x\frac { y - x ^ { 2 } } { y ^ { 2 } - x }
E) y+x2y2x\frac { y + x ^ { 2 } } { y ^ { 2 } - x }

Correct Answer:

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