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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2-4xy)

Lösung

\frac{\partial}{\partial x} (3 x^{2} - 4 x y)

Lösung

6 x - 4 y

Schritte zur Lösung

\frac{\partial}{\partial x} (3 x^{2} - 4 x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (4 x y)

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

\frac{\partial}{\partial x} (4 x y) = 4 y

= 6 x - 4 y

Beliebte Beispiele

tangent f(x)=(x^2+2)^2,(0,4)

t an g e n t f (x) = (x^{2} + 2)^{2}, (0, 4)

limit as x approaches 2 of (x^2-4)/(x+4)

x \to 2 lim (\frac{x ^{2} - 4}{x + 4})

integral of 125

\int 125

tangent f(x)=x^3-12x+2

t an g e n t f (x) = x^{3} - 12 x + 2

integral from-1 to 2 of (5x^2+1/3 x-1/2)

\int_{- 1}^{2} (5 x^{2} + \frac{1}{3} x - \frac{1}{2}) d x