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Beliebt Rechnen >

derivative of 6x^2y-3xy^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (6 x^{2} y) = 6 (2 x y + \frac{d y}{d x} x^{2})

\frac{d}{d x} (3 x y^{2}) = 3 (y^{2} + 2 x y \frac{d y}{d x})

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

Beliebte Beispiele

integral of (5x^3)

\int (5 x^{3}) d x

tangent f(x)=-6/((3x+5)^2),\at x=-1

t an g e n t f (x) = - \frac{6}{( 3 x + 5 ) ^{2}}, at x = - 1

integral of (x^3)/(x^4-2)

\int \frac{x ^{3}}{x ^{4} - 2} d x

d/(d{y)}(({y})/({z)})

\frac{d}{d y} (\frac{y}{z})

derivative of 4x^3-12x

\frac{d}{d x} (4 x^{3} - 12 x)