Use implicit differentiation to find the derivative of $y^{4}=8 x y^{2}-6 x$.
A) $\frac{d y}{d x}=\frac{8 x y-3}{2 y^{3}}$
B) $\frac{d y}{d x}=\frac{4 y^{2}-3}{2 y^{3}-8 x y}$
C) $\frac{d y}{d x}=\frac{2 y^{3}-3}{2-8 x y}$
D) $\frac{d y}{d x}=\frac{-3}{2 y^{3}-4 x^{2}}$

Question

Quizplus · Accepted Answer

Differentiate both sides with respect to $x$, applying the product rule and chain rule where necessary, then solve for $\frac{dy}{dx}$.

Use Implicit Differentiation to Find the Derivative Of y4=8xy2−6xy^{4}=8 x y^{2}-6 xy4=8xy2−6x

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