Use differential to approximate (27.3)1/3
3
2.011
3.1112
3.0111
Let y=x1/3dydx=13x−2/3 =13x2/3y+Δy=(x+Δx)1/3Δy=(x+Δx)1/3−x1/3 =dydx⋅Δx
(x+Δx)1/3=x1/3+13x2/3Δx=(27)1/3=+13(27)2/3(0.3)=3+190=3+0.111110=3.0111