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Beliebt Rechnen >

derivative y=x^3-(x^2)/(16)

Lösung

ableitung von

y = x^{3} - \frac{x ^{2}}{16}

Lösung

3 x^{2} - \frac{x}{8}

Schritte zur Lösung

\frac{d}{d x} (x^{3} - \frac{x ^{2}}{16})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (\frac{x ^{2}}{16})

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (\frac{x ^{2}}{16}) = \frac{x}{8}

= 3 x^{2} - \frac{x}{8}

Graph

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