Question

(x+Δx)^3
Evaluate

Answer 1

http://openstudy.com/study#/updates/4f674afee4b0f81dfbb4c645

Answer 2

\[\left( x+\Delta x \right) ^{3} = x ^{3}\left( 1+\Delta x/x \right)^{3}\]
Using series expansion \[x ^{3}\left( 1+3\times \Delta x/x + 3\times2\left( \Delta x/x \right)^{2} \div2! + ......\right)\]
Neglecting higher powers
\[x ^{3} + 3\times \Delta x \times x ^{2} \left(Answer \right) \]