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Beliebt Rechnen >

(\partial)/(\partial x)(2e^{x^9y})

Lösung

\frac{\partial}{\partial x} (2 e^{x^{9} y})

Lösung

18 e^{x^{9} y} x^{8} y

Schritte zur Lösung

\frac{\partial}{\partial x} (2 e^{x^{9} y})

Behandle

y

als Konstante

Entferne die Konstante:

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

= 2 \frac{\partial}{\partial x} (e^{x^{9} y})

Wende die Kettenregel an:

e^{x^{9} y} \frac{\partial}{\partial x} (x^{9} y)

= e^{x^{9} y} \frac{\partial}{\partial x} (x^{9} y)

\frac{\partial}{\partial x} (x^{9} y) = 9 y x^{8}

= 2 e^{x^{9} y} \cdot 9 y x^{8}

Vereinfache

= 18 e^{x^{9} y} x^{8} y

Beliebte Beispiele

derivative ((x+9)/(x-9))^5

d er i v a t i v e (\frac{x + 9}{x - 9})^{5}

limit as x approaches 16 of ((4-sqrt(x)))/((16x-x^2))

x \to 16 lim (\frac{( 4 - x )}{( 16 x - x ^{2} )})

integral of (1-t^{-0.52})

\int (1 - t^{- 0.52}) d t

y^{^{'}} = y - 1

integral from 0 to 10 of (6e^{0.2x}+2)

\int_{0}^{10} (6 e^{0.2 x} + 2) d x