Question

differentiation of x³ + a³÷ x+a

Answer 1

$\frac{d}{dx}(\frac{x^3+a^3}{x+a})$

$= \frac{d}{dx}[\frac{(x+a)(x^2-ax+a^2)}{x+a}]$....(using identity)

$= \frac{d}{dx}[x^2-ax+a^2]$

$= 2x - a$

Answer 2

Using quotient rule, we can solve this question.