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Beliebt Rechnen >

(\partial)/(\partial x)(x^{1/2}+y)

Lösung

\frac{\partial}{\partial x} (x^{\frac{1}{2}} + y)

Lösung

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

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{\frac{1}{2}} + y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (y) = 0

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

Vereinfache

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

Beliebte Beispiele

t an g e n t y = 4 e^{x}

(\partial)/(\partial t)(t^2)

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

limit as x approaches 0 of arctan(6x)

x \to 0 lim (arctan (6 x))

limit as x approaches-3 of 5-x

x \to - 3 lim (5 - x)

d/(dy)(1/(x+y))

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