Question
Differentiate the following functions w.r.t.x. : $x^{-2}$

Answer

Let $y=x^{-2}$
Differentiating w.r.t. $x$, we get
$
\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\mathrm{d}}{\mathrm{d} x}\left(x^{-2}\right)=-2 x^{-3}=\frac{-2}{x^3}
$

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