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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

derivative of cos(e^{x^2})

\frac{d}{d x} (cos (e^{x^{2}}))

integral of (sin(x))/(2x)

\int \frac{sin ( x )}{2 x} d x

geradzahligkeit ,sqrt(x)

p a r i t y, x

derivative f(1)=9+3/x

d er i v a t i v e f (1) = 9 + \frac{3}{x}

derivative f(x)=sqrt(3x+8)

d er i v a t i v e f (x) = 3 x + 8