Find $\frac{d y}{d x}$ by implicit differentiation. \[ \begin{array}{r} x^{7}-x y^{4}+y^{7}=1 \\ \frac{d y}{d x}=\square \end{array} \]

Step 1 ：Differentiate both sides of the equation with respect to x

Step 2 ：Apply the chain rule and product rule to the left side

Step 3 ：Simplify the equation

Step 4 ：Solve for dy/dx

Step 5 ：Final Answer: \(\boxed{\frac{y^4 - 7x^6}{-4xy^3 + 7y^6}}\)