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Beliebt Rechnen >

(\partial)/(\partial x)(yz-xw)

Lösung

\frac{\partial}{\partial x} (yz - x w)

Lösung

- w

Schritte zur Lösung

\frac{\partial}{\partial x} (yz - x w)

Behandle

y, z, w

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (yz) - \frac{\partial}{\partial x} (x w)

\frac{\partial}{\partial x} (yz) = 0

\frac{\partial}{\partial x} (x w) = w

= 0 - w

Vereinfache

= - w

Beliebte Beispiele

derivative of \sqrt[3]{x+7}

\frac{d}{d x} (3 x + 7)

x y^{^{''}} + 5 y^{^{'}} = 0

(\partial)/(\partial y)(5xy^3)

\frac{\partial}{\partial y} (5 x y^{3})

tangent y=x^2+5x+2,(-5,2)

t an g e n t y = x^{2} + 5 x + 2, (- 5, 2)

tangent f(x)=-3-6x^2,(-2,27)

t an g e n t f (x) = - 3 - 6 x^{2}, (- 2, 27)