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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

\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})

Graph

Beliebte Beispiele

derivative y=1-(x^2)/(36)

d er i v a t i v e y = 1 - \frac{x ^{2}}{36}

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integral of (arcsin(5x))/(sqrt(1-25x^2))

\int \frac{arcsin ( 5 x )}{1 - 25 x ^{2}} d x

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