Given the equation below, find $\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}$.
$\displaystyle -{14}{x}^{{8}}+{9}{x}^{{56}}{y}+{y}^{{5}}=-{4}$

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