To find the implicit derivative of the given function, we first take the derivative of both sides with respect to x. This means for any term involving only the variable x, we take the derivative as normal. For any term involving y, as y is a function of x, taking the derivative of y with respect to x is like using the Chain Rule. We note that the derivative of y is not 1, butdydx.The given implicit function is2x2y +5y2x =2.We can begin by taking the derivative of the right side of this equation with respect to x.ddx[2]=4xy5y22x2+10xy