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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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{1}{2}})

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

\frac{\partial}{\partial x} (y^{\frac{1}{2}}) = 0

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

Vereinfache

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

Beliebte Beispiele

fläche 20+x-x^2,x^2-5x,[4,8]

a re a 20 + x - x^{2}, x^{2} - 5 x, [4, 8]

derivative e^{cos^2(pit-11)}

d er i v a t i v e e^{c o s^{2} (π t - 11)}

derivative of xcos(pix)

\frac{d}{d x} (x cos (π x))

integral from-5 to 5 of 1/(x^{2/3)}

\int_{- 5}^{5} \frac{1}{x ^{\frac{2}{3}}} d x

vereinfachen-arcsin(1/4 x)+x/(sqrt(16-x^2))+C

s im pl i f y - arcsin (\frac{1}{4} x) + \frac{x}{16 - x ^{2}} + C