2083 BaishakhChapter 1: Calculus of Two and More Variables1.1 Partial Differentiation
If u = xyz, v = xy + yz + zx, w = x + y + z, find the Jacobian ∂(u, v, w)∂(x, y, z).
ENSH 151 · Chapter 1
If u = xyz, v = xy + yz + zx, w = x + y + z, find the Jacobian ∂(u, v, w)∂(x, y, z).
If u = sin-1x² + y²x + y, then show that x∂u∂x + y∂u∂y = tan u.
Show that x∂u∂x + y∂u∂y = sin 2u where u = tan-1x³ + y³x - y.