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Beliebt Rechnen >

derivative of 1+2x^{3/2}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 + 3 x^{\frac{1}{2}}

Vereinfache

= 3 x^{\frac{1}{2}}

Graph

Beliebte Beispiele

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\int \frac{x ^{2}}{2 x + 1} d x

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\int \frac{1}{4} cos (\frac{x}{2}) d x

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\int \frac{x ln ( x ^{2} + 1 )}{x ^{2} + 1} d x

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\int sec (a) x d x