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Beliebt Rechnen >

(\partial)/(\partial v)(u^2+v^2)

Lösung

\frac{\partial}{\partial v} (u^{2} + v^{2})

Lösung

2 v

Schritte zur Lösung

\frac{\partial}{\partial v} (u^{2} + v^{2})

Behandle

u

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial v} (u^{2}) + \frac{\partial}{\partial v} (v^{2})

\frac{\partial}{\partial v} (u^{2}) = 0

\frac{\partial}{\partial v} (v^{2}) = 2 v

= 0 + 2 v

Vereinfache

= 2 v

Beliebte Beispiele

integral of 1/(5+2x)

\int \frac{1}{5 + 2 x} d x

tangent (x^2+1)^{(x+1)}

t an g e n t (x^{2} + 1)^{(x + 1)}

derivative of (2x+5/3)

\frac{d}{d x} (\frac{2 x + 5}{3})

f(x)=xarctan(x)

f (x) = x arctan (x)

limit as x approaches 0 of 1/(x^{2/3)}

x \to 0 lim (\frac{1}{x ^{\frac{2}{3}}})