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Beliebt Rechnen >

(\partial)/(\partial x)(2x+yz-2)

Lösung

\frac{\partial}{\partial x} (2 x + yz - 2)

Lösung

2

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x + yz - 2)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 2 + 0 - 0

Vereinfache

= 2

Beliebte Beispiele

integral from 0 to 1 of 1-\sqrt[4]{x}

\int_{0}^{1} 1 - 4 x d x

integral of (sqrt(16+x^2))/(2x^4)

\int \frac{16 + x ^{2}}{2 x ^{4}} d x

integral of (2x^2-1)^{1/2}

\int (2 x^{2} - 1)^{\frac{1}{2}} d x

derivative f(x)=ln(cos(x))

d er i v a t i v e f (x) = ln (cos (x))

derivative of ln(sqrt(x^2+2))

\frac{d}{d x} (ln (x^{2} + 2))