Homework Soursesecond derivative of x2y22x3 in terms of dydxSolutionx2y22x3
second derivative of (x^2)(y^2)-2x=3 in terms of [dy/dx]
Solution
(x^2)(y^2)-2x=3
differentiating,
2xy2 + x22ydy/dx -2=0
differentiating again,
2x(2ydy/dx) + 2y2 + 2x(2ydy/dx) + 2dy/dx(x2dy/dx) + x22y(d2y/dx2)=0
x22y(d2y/dx2) + (dy/dx)(8xy + 2(x2)(dy/dx))=0
![second derivative of (x^2)(y^2)-2x=3 in terms of [dy/dx]Solution(x^2)(y^2)-2x=3 differentiating, 2xy2 + x22ydy/dx -2=0 differentiating again, 2x(2ydy/dx) + 2y2](/WebImages/35/second-derivative-of-x2y22x3-in-terms-of-dydxsolutionx2y22x3-1105602-1761585076-0.webp "second derivative of (x^2)(y^2)-2x=3 in terms of [dy/dx]Solution(x^2)(y^2)-2x=3 differentiating, 2xy2 + x22ydy/dx -2=0 differentiating again, 2x(2ydy/dx) + 2y2")
