Given the equation below, find $\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}$.

$\displaystyle -{18}{x}^{{4}}+{10}{x}^{{36}}{y}+{y}^{{8}}=-{7}$

 $\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=$

Preview Question 6 Part 1 of 2  

Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in $\displaystyle {m}{x}+{b}$ format

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