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Beliebt Rechnen >

(\partial)/(\partial v)(sqrt(uv))

Lösung

\frac{\partial}{\partial v} (uv)

Lösung

\frac{u}{2 v}

Schritte zur Lösung

\frac{\partial}{\partial v} (uv)

Behandle

u

als Konstante

Wende die Kettenregel an:

\frac{1}{2 uv} \frac{\partial}{\partial v} (uv)

= \frac{1}{2 uv} \frac{\partial}{\partial v} (uv)

\frac{\partial}{\partial v} (uv) = u

= \frac{1}{2 uv} u

Vereinfache

\frac{1}{2 uv} u : \frac{u}{2 v}

= \frac{u}{2 v}

Beliebte Beispiele

(\partial)/(\partial z)(2x^4yz^3)

\frac{\partial}{\partial z} (2 x^{4} y z^{3})

derivative of 3/(4x^8)

\frac{d}{d x} (\frac{3}{4 x ^{8}})

xy^'+y=6xy^2,y(1)=-4

x y^{^{'}} + y = 6 x y^{2}, y (1) = - 4

derivative 1-2sin^3(x)

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

integral of (x^3)/(e^x)

\int \frac{x ^{3}}{e ^{x}} d x