_Here,

x¹⁶ y⁹ = (x² + y)¹⁷

_{Taking log on both sides,}

16 log x + 9 log y = 17 log(+y)

[ Since, log (AB)=logA+logB ; log =b log a]

Differentiating it with respect to x using the chain rule,

_{Hence, Proved.}