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Beliebt Rechnen >

(\partial)/(\partial x)(|x|y+2x)

Lösung

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

Lösung

\frac{y x}{∣ x ∣} + 2

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{y x}{∣ x ∣} + 2

Beliebte Beispiele

integral of (1+x)/x

\int \frac{1 + x}{x} d x

derivative 5x^4(9-7x)^7

d er i v a t i v e 5 x^{4} (9 - 7 x)^{7}

integral from-pi to pi of 1

\int_{- π}^{π} 1

tangent f(x)=x^3-3x^2-8x+9

t an g e n t f (x) = x^{3} - 3 x^{2} - 8 x + 9

limit as x approaches infinity of 5+2/x

x \to \infty lim (5 + \frac{2}{x})