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Beliebt Rechnen >

(\partial)/(\partial z)(x^2+yz)

Lösung

\frac{\partial}{\partial z} (x^{2} + yz)

Lösung

y

Schritte zur Lösung

\frac{\partial}{\partial z} (x^{2} + yz)

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial z} (x^{2}) + \frac{\partial}{\partial z} (yz)

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

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

= 0 + y

Vereinfache

= y

Beliebte Beispiele

tangent f(x)=x^2+2x,\at x=1

t an g e n t f (x) = x^{2} + 2 x, at x = 1

integral of 1/(by^2+b^3)

\int \frac{1}{b y ^{2} + b ^{3}} d y

integral of 1/(xsqrt(9x^2+64))

\int \frac{1}{x 9 x ^{2} + 64} d x

integral of sqrt(x)(3+10x)

\int x (3 + 10 x) d x

(d^2y)/(dx^2)=4y

\frac{d ^{2} y}{d x ^{2}} = 4 y