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Beliebt Rechnen >

(\partial)/(\partial x)(2e^{x-y})

Lösung

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

Lösung

2 e^{x - y}

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial x} (x - y) = 1

= 2 e^{x - y} \cdot 1

Vereinfache

= 2 e^{x - y}

Beliebte Beispiele

derivative of log_{10}(icos(x))

\frac{d}{d x} (lo g_{10} (i) cos (x))

limit as x approaches-7 of 2/(x^2(x+7))

x \to - 7 lim (\frac{2}{x ^{2} ( x + 7 )})

2y^2+3xy+(2xy+x^2)y^'=0

2 y^{2} + 3 x y + (2 x y + x^{2}) y^{^{'}} = 0

integral of x*cos(x^2)

\int x \cdot cos (x^{2}) d x

y^{''}+5y^'=0,y(0)=0

y^{^{''}} + 5 y^{^{'}} = 0, y (0) = 0