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Beliebt Rechnen >

(\partial)/(\partial x)(x^6y-2x^3y^2)

Lösung

\frac{\partial}{\partial x} (x^{6} y - 2 x^{3} y^{2})

Lösung

6 y x^{5} - 6 y^{2} x^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{6} y - 2 x^{3} y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{6} y) - \frac{\partial}{\partial x} (2 x^{3} y^{2})

\frac{\partial}{\partial x} (x^{6} y) = 6 y x^{5}

\frac{\partial}{\partial x} (2 x^{3} y^{2}) = 6 y^{2} x^{2}

= 6 y x^{5} - 6 y^{2} x^{2}

Beliebte Beispiele

fläche y=x+4,y=x^2+x-12

a re a y = x + 4, y = x^{2} + x - 12

fläche 2(x+1),3(x+1),x=4

a re a 2 (x + 1), 3 (x + 1), x = 4

derivative x^3+x+3

d er i v a t i v e x^{3} + x + 3

fläche e^x,e^{-4x},x=ln(3)

a re a e^{x}, e^{- 4 x}, x = ln (3)

integral from 1 to 3 of ((x)^3+e^{-3x})

\int_{1}^{3} ((x)^{3} + e^{- 3 x}) d x