If u, v and w are functions of x, then show that
d/dx (u.v.w) = du/dx v.w+u. dv/dx .w+u.v.dw/dx
in two ways-first by repeated application of product rule, second by logarithmic differentiation.
Let y = u.v.w =u.(v.w)
By applying product rule, we obtain
Differentiating both sides with respect to x, we obtain
