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Beliebt Rechnen >

d/(d{x)}(2{x}+{y}^2-{z}^2)

Lösung

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

Lösung

2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (y^{2}) = 0

\frac{d}{d x} (z^{2}) = 0

= 2 + 0 - 0

Vereinfache

= 2

Beliebte Beispiele

derivative of 10tan(x)

\frac{d}{d x} (10 tan (x))

d/(dX)(XY+YZ(Y+Z))

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sum from n=0 to infinity of (n!)/(3n!-1)

n = 0 \sum \infty \frac{n !}{3 n ! - 1}

derivative e^xx-6e^x

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(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=8

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0, y (0) = 8