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Beliebt Rechnen >

(\partial)/(\partial x)(2y+xe^y)

Lösung

\frac{\partial}{\partial x} (2 y + x e^{y})

Lösung

e^{y}

Schritte zur Lösung

\frac{\partial}{\partial x} (2 y + x e^{y})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (2 y) + \frac{\partial}{\partial x} (x e^{y})

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

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

= 0 + e^{y}

Vereinfache

= e^{y}

Beliebte Beispiele

(dy)/(dt)=0.06y-4000

\frac{d y}{d t} = 0.06 y - 4000

tangent 5x^2+2x-3

t an g e n t 5 x^{2} + 2 x - 3

y^'=(x^2*e^{(y/x)}+y^2)/(x*y)

y^{^{'}} = \frac{x ^{2} \cdot e ^{(\frac{y}{x})} + y ^{2}}{x \cdot y}

limit as x approaches 2 of x^2-4x+4

x \to 2 lim (x^{2} - 4 x + 4)

y^{''}+10y^'+25y=0,y(1)=0,y^'(1)=1

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (1) = 0, y^{^{'}} (1) = 1