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Beliebt Rechnen >

(\partial}{\partial x}(\frac{x^2)/2)

Lösung

\frac{\partial}{\partial x} (\frac{x ^{2}}{2})

Lösung

x

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{x ^{2}}{2})

Entferne die Konstante:

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

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

Wende die Potenzregel an:

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

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

Vereinfache

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

= x

Beliebte Beispiele

derivative of (x+1^3)

\frac{d}{d x} ((x + 1)^{3})

integral from-1 to 1 of (3x^2+1)^2

\int_{- 1}^{1} (3 x^{2} + 1)^{2} d x

integral of (-4)/(x^2)

\int \frac{- 4}{x ^{2}} d x

derivative y=(2x-3)/(4x+1)

d er i v a t i v e y = \frac{2 x - 3}{4 x + 1}

(\partial)/(\partial x)(3(x-y)*e^{3y+2x^2})

\frac{\partial}{\partial x} (3 (x - y) \cdot e^{3 y + 2 x^{2}})