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Beliebt Rechnen >

(\partial)/(\partial x)(xy^3-x^2y)

Lösung

\frac{\partial}{\partial x} (x y^{3} - x^{2} y)

Lösung

y^{3} - 2 y x

Schritte zur Lösung

\frac{\partial}{\partial x} (x y^{3} - x^{2} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x y^{3}) - \frac{\partial}{\partial x} (x^{2} y)

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

\frac{\partial}{\partial x} (x^{2} y) = 2 y x

= y^{3} - 2 y x

Beliebte Beispiele

integral of ((sqrt(5x))/5+5/(sqrt(5x)))

\int (\frac{5 x}{5} + \frac{5}{5 x}) d x

y^{''}+y^'-12y=3e^{2x}

y^{^{''}} + y^{^{'}} - 12 y = 3 e^{2 x}

y^{''}+6y^'+8y=-6te^{4t}

y^{^{''}} + 6 y^{^{'}} + 8 y = - 6 t e^{4 t}

integral from 1 to 2 of 1/(x(x-5))

\int_{1}^{2} \frac{1}{x ( x - 5 )} d x

integral of 1/(xsqrt(2+9x^2))

\int \frac{1}{x 2 + 9 x ^{2}} d x