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Use Implicit Differentiation to Find the Derivative Of y4=8xy26xy^{4}=8 x y^{2}-6 x

Question 52

Multiple Choice

Use implicit differentiation to find the derivative of y4=8xy26xy^{4}=8 x y^{2}-6 x .


A) dydx=8xy32y3\frac{d y}{d x}=\frac{8 x y-3}{2 y^{3}}
B) dydx=4y232y38xy\frac{d y}{d x}=\frac{4 y^{2}-3}{2 y^{3}-8 x y}
C) dydx=2y3328xy\frac{d y}{d x}=\frac{2 y^{3}-3}{2-8 x y}
D) dydx=32y34x2\frac{d y}{d x}=\frac{-3}{2 y^{3}-4 x^{2}}

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