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Beliebt Rechnen >

(\partial)/(\partial x)(-sqrt(x))

Lösung

\frac{\partial}{\partial x} (- x)

Lösung

- \frac{1}{2 x}

Schritte zur Lösung

\frac{\partial}{\partial x} (- x)

Entferne die Konstante:

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

= - \frac{\partial}{\partial x} (x)

Wende Radikal Regel an:

a = a^{\frac{1}{2}}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Vereinfache

- \frac{1}{2} x^{\frac{1}{2} - 1} : - \frac{1}{2 x}

= - \frac{1}{2 x}

Beliebte Beispiele

integral from 0 to 4 of 2x

\int_{0}^{4} 2 x d x

(\partial)/(\partial x)(e^{4x}cos(7y))

\frac{\partial}{\partial x} (e^{4 x} cos (7 y))

\frac{d}{d y} (y^{- 1})

derivative of x^2e^x-3

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

limit as x approaches 0 of x*arctan(1/x)

x \to 0 lim (x \cdot arctan (\frac{1}{x}))