Suppose that $\displaystyle {x}^{{4}}+{y}^{{4}}={82}$.

(1) Use the method of implicit differentiation to find $\displaystyle \frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}$.

$\displaystyle \frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}=$ Preview Question 6 Part 1 of 2  

(2) Find the equation of the tangent line at the point $\displaystyle {\left({x},{y}\right)}={\left({1},-{3}\right)}$.

The equation is $\displaystyle {y}=$ Preview Question 6 Part 2 of 2