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Beliebt Rechnen >

derivative 1+6x^{3/2}

Lösung

ableitung von

1 + 6 x^{\frac{3}{2}}

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (1 + 6 x^{\frac{3}{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (6 x^{\frac{3}{2}})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (6 x^{\frac{3}{2}}) = 9 x^{\frac{1}{2}}

= 0 + 9 x^{\frac{1}{2}}

Vereinfache

= 9 x^{\frac{1}{2}}

Graph

Beliebte Beispiele

derivative of (6e^x/(5e^x+7))

\frac{d}{d x} (\frac{6 e ^{x}}{5 e ^{x} + 7})

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\int_{1}^{4} \frac{2 x + 1}{2 x} d x

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(\partial)/(\partial x)(xarctan(x/y))

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