Q$1(10$ points$)$

The quantity $q$ and demand price $p$ for gizmos satisfy the relation

$qp3p^2+100\sqrt[\phantom{2}]{pq}+q^2=210000$ with $10$

What $is$ the relationship between change $in$ quantity $q$ and change $in$ price $p$ when the quantity $is400$ and the price $is100?$