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Beliebt Rechnen >

(\partial)/(\partial x)(2000e^{(x)(y)})

Lösung

\frac{\partial}{\partial x} (2000 e^{(x) (y)})

Lösung

2000 e^{x y} y

Schritte zur Lösung

\frac{\partial}{\partial x} (2000 e^{(x) (y)})

Behandle

y

als Konstante

Entferne die Konstante:

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

= 2000 \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) = y

= 2000 e^{x y} y

Beliebte Beispiele

derivative sqrt(t^2+a^2)

d er i v a t i v e t^{2} + a^{2}

derivative of x^4e^{10x}

\frac{d}{d x} (x^{4} e^{10 x})

derivative of 8/5 x^{-2/4}

\frac{d}{d x} (\frac{8}{5} x^{- \frac{2}{4}})

tangent f(x)=x^3+2x,\at x=3

t an g e n t f (x) = x^{3} + 2 x, at x = 3

limit as x approaches 1 of 7

x \to 1 lim (7)