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Beliebt Rechnen >

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

Lösung

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

Lösung

y - 2 y x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= y - 2 y x

Beliebte Beispiele

(\partial)/(\partial x)(2xz^3e^{y^2})

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

integral of 1/(sqrt(1+z^2))

\int \frac{1}{1 + z ^{2}} d z

derivative f(x)=4(4e^x-25)^7

d er i v a t i v e f (x) = 4 (4 e^{x} - 25)^{7}

tangent y=15-x^2,(1,14)

t an g e n t y = 15 - x^{2}, (1, 14)

integral of x^5(2-5x^3)^{2/3}

\int x^{5} (2 - 5 x^{3})^{\frac{2}{3}} d x