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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y x + y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y x + y^{2}

Beliebte Beispiele

tangent y=x^3,\at x=-9

t an g e n t y = x^{3}, at x = - 9

derivative (1+sin(x))^{-4}

d er i v a t i v e (1 + sin (x))^{- 4}

integral of (1/x+1/(3-x))

\int (\frac{1}{x} + \frac{1}{3 - x}) d x

limit as x approaches 0 of sin(5x)csc(3x)

x \to 0 lim (sin (5 x) csc (3 x))

laplacetransform 0.02(1+3cos(t))

l a pl a ce t r an s f or m 0.02 (1 + 3 cos (t))