Given the equation below, find dydx\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}.
51x3+8x85y+y9=60\displaystyle {51}{x}^{{3}}+{8}{x}^{{85}}{y}+{y}^{{9}}={60}


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

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

y=\displaystyle {y}=