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Beliebt Rechnen >

derivative 2+8x^{3/2}

Lösung

ableitung von

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

Lösung

12 x^{\frac{1}{2}}

Schritte zur Lösung

\frac{d}{d x} (2 + 8 x^{\frac{3}{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (8 x^{\frac{3}{2}})

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

\frac{d}{d x} (8 x^{\frac{3}{2}}) = 12 x^{\frac{1}{2}}

= 0 + 12 x^{\frac{1}{2}}

Vereinfache

= 12 x^{\frac{1}{2}}

Graph

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