Question

Find the derivative of the following function:
f(x)= $(ax+b{)}^n$

Answer 1

Here $f\left(x\right)=(ax+b{)}^n$

$\therefore f^{\prime }\left(x\right)=\frac{d}{dx}\left[\right(ax+b{)}^n]$

$=n(ax+b{)}^{n-1}\times \frac{d}{dx}(ax+b)$

$=n(ax+b{)}^{n-1}\times a=na(ax+b{)}^{n-1}$