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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

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