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Beliebt Rechnen >

derivative of 2y+xe^y

Lösung

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

Lösung

2 \frac{d y}{d x} + e^{y} + e^{y} x \frac{d y}{d x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2 y) = 2 \frac{d y}{d x}

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

= 2 \frac{d y}{d x} + e^{y} + e^{y} x \frac{d y}{d x}

Beliebte Beispiele

(dy)/(dt)-2/t y=t^5

\frac{d y}{d t} - \frac{2}{t} y = t^{5}

inverselaplace (s+2)/(s(s+2)+1)

in v erse l a pl a ce \frac{s + 2}{s ( s + 2 ) + 1}

derivative of sqrt((3x+1/(2x-1)))

\frac{d}{d x} (\frac{3 x + 1}{2 x - 1})

inverselaplace 1/(s(s+4))

in v erse l a pl a ce \frac{1}{s ( s + 4 )}

tangent (6e^xcos(x))(0.6)

t an g e n t (6 e^{x} cos (x)) (0.6)