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Beliebt Rechnen >

(\partial)/(\partial x)((x+y)^z)

Lösung

\frac{\partial}{\partial x} ((x + y)^{z})

Lösung

z (x + y)^{z - 1}

Schritte zur Lösung

\frac{\partial}{\partial x} ((x + y)^{z})

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

z (x + y)^{z - 1} \frac{\partial}{\partial x} (x + y)

= z (x + y)^{z - 1} \frac{\partial}{\partial x} (x + y)

\frac{\partial}{\partial x} (x + y) = 1

= z (x + y)^{z - 1} \cdot 1

Vereinfache

= z (x + y)^{z - 1}

Beliebte Beispiele

limit as x approaches pi of x

x \to π lim (x)

inverselaplace 1/(s^2+2*pi*s+pi^2)

in v erse l a pl a ce \frac{1}{s ^{2} + 2 \cdot π \cdot s + π ^{2}}

sum from n=3 to infinity of e^{5-6n}

n = 3 \sum \infty e^{5 - 6 n}

(d^2y)/(dx^2)-(dy)/(dx)-2y=0

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 2 y = 0

derivative tan(x)-1sec(x)

d er i v a t i v e tan (x) - 1 sec (x)