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Beliebt Rechnen >

(\partial)/(\partial u)(sqrt(uv))

Lösung

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

Lösung

\frac{v}{2 u}

Schritte zur Lösung

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

Behandle

v

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 uv} v

Vereinfache

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

= \frac{v}{2 u}

Beliebte Beispiele

(dy)/(dx)=(-0.1)/(cos(y))

\frac{d y}{d x} = \frac{- 0.1}{cos ( y )}

fläche y=x^{(3)},y=x^{(6)}

a re a y = x^{(3)}, y = x^{(6)}

derivative g(x)=5e^xsqrt(x)

d er i v a t i v e g (x) = 5 e^{x} x

sum from n=0 to infinity of (x-1)^n

n = 0 \sum \infty (x - 1)^{n}

limit as x approaches 0 of (x-3)/(x-3)

x \to 0 lim (\frac{x - 3}{x - 3})