Find the derived function of \(f(x)=-4x\).
\(-4\)
\(-4x\)
\(4\)
\(-8x\)
Use \(\dfrac{d}{dx}(ax)=a\).
So \(f\,\!'(x)=-4\).
Find the derived function of \(f(x)=-15x\).
\(-15x\)
\(-15\)
\(15\)
\(-30x\)
So \(f\,\!'(x)=-15\).
Find the derived function of \(f(x)=-\dfrac12 x\).
\(-\dfrac12\)
\(-\dfrac12 x\)
\(\dfrac12\)
\(-1\)
So \(f\,\!'(x)=-\dfrac12\).
Find \(\dfrac{dy}{dx}\) if \(y=\dfrac{2}{9}x\).
\(\dfrac29\)
\(\dfrac29 x\)
\(\dfrac92\)
\(0\)
So \(\dfrac{dy}{dx}=\dfrac{2}{9}\).
Find the derivative if \(y=-\dfrac{2}{3}x\).
\(-\dfrac23\)
\(-\dfrac23 x\)
\(\dfrac23\)
\(-\dfrac43 x\)
So \(\dfrac{dy}{dx}=-\dfrac23\).