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Beliebt Rechnen >

(\partial)/(\partial x)(xe^y-3yz)

Lösung

\frac{\partial}{\partial x} (x e^{y} - 3 yz)

Lösung

e^{y}

Schritte zur Lösung

\frac{\partial}{\partial x} (x e^{y} - 3 yz)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x e^{y}) - \frac{\partial}{\partial x} (3 yz)

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

\frac{\partial}{\partial x} (3 yz) = 0

= e^{y} - 0

Vereinfache

= e^{y}

Beliebte Beispiele

derivative 3/((x-1)^2)

d er i v a t i v e \frac{3}{( x - 1 ) ^{2}}

tangent (x^2)/(x+2)

t an g e n t \frac{x ^{2}}{x + 2}

derivative of Ax^2+Bx

\frac{d}{d x} (A x^{2} + B x)

integral of cos(5x)sin(6x)

\int cos (5 x) sin (6 x) d x

integral of xsqrt(x+3)

\int x x + 3 d x