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Beliebt Rechnen >

(\partial)/(\partial x)(e^{xyz^5})

Lösung

\frac{\partial}{\partial x} (e^{x y z^{5}})

Lösung

e^{x y z^{5}} y z^{5}

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{x y z^{5}})

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

e^{x y z^{5}} \frac{\partial}{\partial x} (x y z^{5})

= e^{x y z^{5}} \frac{\partial}{\partial x} (x y z^{5})

\frac{\partial}{\partial x} (x y z^{5}) = y z^{5}

= e^{x y z^{5}} y z^{5}

Beliebte Beispiele

limit as x approaches 0 of sqrt(x^3-x)

x \to 0 lim (x^{3} - x)

derivative of 1/(1-e^x)

\frac{d}{d x} (\frac{1}{1 - e ^{x}})

limit as x approaches-1+of sqrt(x+1)

x \to - 1 + lim (x + 1)

integral of 2x^1e^{-y}

\int 2 x^{1} e^{- y}

integral of (x+9)/(x^2+16)

\int \frac{x + 9}{x ^{2} + 16} d x