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Beliebt Rechnen >

(\partial)/(\partial y)(1+2xsqrt(y))

Lösung

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

Lösung

\frac{x}{y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (1) = 0

\frac{\partial}{\partial y} (2 x y) = \frac{x}{y}

= 0 + \frac{x}{y}

Vereinfache

= \frac{x}{y}

Beliebte Beispiele

derivative 1-e^{3x^2}

d er i v a t i v e 1 - e^{3 x^{2}}

(\partial)/(\partial x)(\sqrt[3]{x^3+y^3})

\frac{\partial}{\partial x} (3 x^{3} + y^{3})

x(dy)/(dx)=y+sqrt(x^2-y^2)

x \frac{d y}{d x} = y + x^{2} - y^{2}

inverselaplace (2s^2)/(s^4-1)

in v erse l a pl a ce \frac{2 s ^{2}}{s ^{4} - 1}

integral from 0 to 1 of 2x(x^2+1)^2

\int_{0}^{1} 2 x (x^{2} + 1)^{2} d x