derivative of (3x^2+2/4)

Lösung

\frac{d}{d x} (\frac{3 x ^{2} + 2}{4})

\frac{3 x}{2}

Schritte zur Lösung

\frac{d}{d x} (\frac{3 x ^{2} + 2}{4})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{4} \frac{d}{d x} (3 x^{2} + 2)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{4} (\frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (2))

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (2) = 0

= \frac{1}{4} (6 x + 0)

Vereinfache

\frac{1}{4} (6 x + 0) : \frac{3 x}{2}

= \frac{3 x}{2}

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