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Matematika => Kalkulus => Topik dimulai oleh: trfrm pada Juli 20, 2018, 12:09:17 PM

Judul: Differentiating f(-x)?
Ditulis oleh: trfrm pada Juli 20, 2018, 12:09:17 PM
If $y:=-x$, then $dy/dx=-1$ ... .

If $\displaystyle\frac{d}{dx}f(x)=g(x)$, then $\displaystyle\frac{d}{dy}f(y)=g(y)$, because $x$ and $y$ are both dummy variables ... .

$\displaystyle\frac{d}{dx}f(-x)=\frac{d}{dx}f(y)=\frac{dy}{dx}\frac{d}{dy}f(y)=-g(y)=-g(-x)$ ... .

Thus, this is correct ... . :)