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Beliebt Rechnen >

derivative of sqrt(\sqrt{1+\sqrt{x)}+1}

Lösung

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

Lösung

\frac{1}{8 x 1 + x + 1 x + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (1 + x + 1) = \frac{1}{4 x x + 1}

= \frac{1}{2 1 + x + 1} \cdot \frac{1}{4 x x + 1}

Vereinfache

\frac{1}{2 1 + x + 1} \cdot \frac{1}{4 x x + 1} : \frac{1}{8 x 1 + x + 1 x + 1}

= \frac{1}{8 x 1 + x + 1 x + 1}

Graph

Beliebte Beispiele

derivative ln(sqrt(x+3))

integral of (e^{2/x})/(x^2)

y^'+6y=4x^3e^{-6x}

(dy)/(dx)=5+e^{y-5x+1},y(0)=-1

limit as x approaches 2+of-1