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Beliebt Rechnen >

(\partial)/(\partial x)(y^5-4xy)

Lösung

\frac{\partial}{\partial x} (y^{5} - 4 x y)

Lösung

- 4 y

Schritte zur Lösung

\frac{\partial}{\partial x} (y^{5} - 4 x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (y^{5}) - \frac{\partial}{\partial x} (4 x y)

\frac{\partial}{\partial x} (y^{5}) = 0

\frac{\partial}{\partial x} (4 x y) = 4 y

= 0 - 4 y

Vereinfache

= - 4 y

Beliebte Beispiele

y^'=(6y^3)/((3-2x)^2),y(0)=-1

y^{^{'}} = \frac{6 y ^{3}}{( 3 - 2 x ) ^{2}}, y (0) = - 1

integral from 0 to 1 of ln(2x)

\int_{0}^{1} ln (2 x) d x

integral of (2/(x^2))

\int (\frac{2}{x ^{2}}) d x

(\partial)/(\partial x)(1/x-y/x)

\frac{\partial}{\partial x} (\frac{1}{x} - \frac{y}{x})

integral of tan^2(x)tan(x)

\int tan^{2} (x) tan (x) d x