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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x y + 4 x

Schritte zur Lösung

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

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

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

\frac{\partial}{\partial x} (y) = 0

\frac{\partial}{\partial x} (2) = 0

= 2 y x + 4 x - 0 - 0

Vereinfache

= 2 x y + 4 x

Beliebte Beispiele

limit as x approaches 0+of f(x)

x \to 0 + lim (f (x))

integral of (y^2)/(1+x^2)

\int \frac{y ^{2}}{1 + x ^{2}} d x

laplacetransform f(t)=7t+3

l a pl a ce t r an s f or m f (t) = 7 t + 3

integral of x/((x+2)(3x-1))

\int \frac{x}{( x + 2 ) ( 3 x - 1 )} d x

integral from 1 to 4 of 1/(sqrt(x-1))

\int_{1}^{4} \frac{1}{x - 1} d x