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Use Implicit Differentiation to Determine dydx\frac { d y } { d x }

Question 49

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Use implicit differentiation to determine dydx\frac { d y } { d x } where 4 x3x ^ { 3 } + 4xy + y = 8. Is dydx=−12x2−4y4x+1\frac { d y } { d x } = \frac { - 12 x ^ { 2 } - 4 y } { 4 x + 1 } correct?

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