Differentiate the following

Question

Y=x³/(x+1)⁴

Answer 1

Using the rules for differentiation, we get:

dy/dx = - (x-3)x² / (x+1)⁵

Answer 2

y = x³/(x+1)⁴

log y = 3 logx - 4 log(x+1)

Differentiating w.r.to x

1/y (dy/dx) = 3/x - 4/(x+1)  = (-x+3)/[x(x+1)]

(dy/dx) = (-x+3)/[x(x+1)] { x³/(x+1)⁴}  = { (-x+3)x² }/{ (x+1)⁵ }