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Beliebt Rechnen >

(\partial)/(\partial v)(uv^2+w^3)

Lösung

\frac{\partial}{\partial v} (u v^{2} + w^{3})

Lösung

2 uv

Schritte zur Lösung

\frac{\partial}{\partial v} (u v^{2} + w^{3})

Behandle

u, w

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial v} (u v^{2}) + \frac{\partial}{\partial v} (w^{3})

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

\frac{\partial}{\partial v} (w^{3}) = 0

= 2 uv + 0

Vereinfache

= 2 uv

Beliebte Beispiele

integral of e^{5x+6}

\int e^{5 x + 6} d x

y^{''}-3y^'+2y=e^{2t}

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{2 t}

tangent f(x)=x-2sin(x),\at x=0

t an g e n t f (x) = x - 2 sin (x), at x = 0

xy^{''}-y^'=x^2

x y^{^{''}} - y^{^{'}} = x^{2}

derivative (x-5)/(x^2+1)

d er i v a t i v e \frac{x - 5}{x ^{2} + 1}