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Beliebt Rechnen >

derivative of (2-x^{1/2})

Lösung

\frac{d}{d x} ((2 - x)^{\frac{1}{2}})

Lösung

- \frac{1}{2 ( 2 - x ) ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{d}{d x} ((2 - x)^{\frac{1}{2}})

Wende die Kettenregel an:

\frac{1}{2 ( 2 - x ) ^{\frac{1}{2}}} \frac{d}{d x} (2 - x)

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

\frac{d}{d x} (2 - x) = - 1

= \frac{1}{2 ( 2 - x ) ^{\frac{1}{2}}} (- 1)

Vereinfache

= - \frac{1}{2 ( 2 - x ) ^{\frac{1}{2}}}

Graph

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