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Beliebt Rechnen >

derivative (sqrt(x-1))+(2x-2)

Lösung

ableitung von

(x - 1) + (2 x - 2)

Lösung

\frac{1}{2 x - 1} + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (2) = 0

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

Vereinfache

= \frac{1}{2 x - 1} + 2

Graph

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