Question

Find the derivative of $(x+a),$ where $a$ is a fixed non-zero constant.

Answer 1

Let $f\left(x\right)=(x+a)$
Differentiate with respect to $x$
$\Rightarrow f^{\prime }\left(x\right)=\left(1\right)x^{1-1}+0$
$\Rightarrow f^{\prime }\left(x\right)=x^0$
$\therefore f^{\prime }\left(x\right)=1$