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Beliebt Rechnen >

derivative of-sqrt(1-x)

Lösung

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

Lösung

\frac{1}{2 1 - x}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

integral from 0 to 1/6 of xarcsin(6x)

\int_{0}^{\frac{1}{6}} x arcsin (6 x) d x

integral of (cos(x)-sin(2x))

\int (cos (x) - sin (2 x)) d x

(\partial)/(\partial y)(e^{-x}sec(y))

\frac{\partial}{\partial y} (e^{- x} sec (y))

derivative of sqrt(x^4+x)

\frac{d}{d x} (x^{4} + x)

derivative of sin^2(2x)

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