derivative of (x^2+32sqrt(x)/8)

Lösung

\frac{d}{d x} (\frac{x ^{2} + 32 x}{8})

\frac{1}{8} (2 x + \frac{16}{x})

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2} + 32 x}{8})

Entferne die Konstante:

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

= \frac{1}{8} \frac{d}{d x} (x^{2} + 32 x)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{8} (\frac{d}{d x} (x^{2}) + \frac{d}{d x} (32 x))

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

\frac{d}{d x} (32 x) = \frac{16}{x}

= \frac{1}{8} (2 x + \frac{16}{x})

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\frac{\partial}{\partial v} (\frac{1}{3} (v - 2 u))