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Beliebt Rechnen >

d/(dz)(sqrt(z+1)-1)

Lösung

\frac{d}{d z} (z + 1 - 1)

Lösung

\frac{1}{2 z + 1}

Schritte zur Lösung

\frac{d}{d z} (z + 1 - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d z} (z + 1) - \frac{d}{d z} (1)

\frac{d}{d z} (z + 1) = \frac{1}{2 z + 1}

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

= \frac{1}{2 z + 1} - 0

Vereinfache

= \frac{1}{2 z + 1}

Graph

Beliebte Beispiele

derivative of 3-(10/(3x^{1/6)})

\frac{d}{d x} (3 - \frac{10}{3 x ^{\frac{1}{6}}})

integral of 4/5 sec(x)tan(x)

\int \frac{4}{5} sec (x) tan (x) d x

derivative sin(6θ)

d er i v a t i v e sin (6 θ)

limit as θ approaches 0 of (sin(5θ))/(θ+tan(7θ))

θ \to 0 lim (\frac{sin ( 5 θ )}{θ + tan ( 7 θ )})

derivative of 2sqrt(x-2)

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