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Beliebt Rechnen >

(\partial)/(\partial x)(xz+yz+xy)

Lösung

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

Lösung

z + y

Schritte zur Lösung

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

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x z) + \frac{\partial}{\partial x} (yz) + \frac{\partial}{\partial x} (x y)

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

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

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

= z + 0 + y

Vereinfache

= z + y

Beliebte Beispiele

derivative of (2x^5+8/(x^3))

\frac{d}{d x} (\frac{2 x ^{5} + 8}{x ^{3}})

derivative sqrt(15x)ln(14x)

d er i v a t i v e 15 x ln (14 x)

sum from n=2 to infinity of (3n)/(n^2-2)

n = 2 \sum \infty \frac{3 n}{n ^{2} - 2}

limit as x approaches 5+of (6x)/(x-5)

x \to 5 + lim (\frac{6 x}{x - 5})

integral of 3xsqrt(5x^2+1)

\int 3 x 5 x^{2} + 1 d x