Question

Differentiate $\frac{2}{x}$ with respect to $x$

Answer 1

Let $y=\frac{2}{x}$

$\Rightarrow y=2x^{-1}$

$\Rightarrow \frac{dy}{dx}=\frac{d\left(2x^{-1}\right)}{dx}$

$\Rightarrow \frac{dy}{dx}=2(-1)x^{-2}=\frac{-2}{x^2}$