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Beliebt Rechnen >

derivative (2z+e^{-z^2})^6

Lösung

ableitung von

(2 z + e^{- z^{2}})^{6}

Lösung

6 (2 z + e^{- z^{2}})^{5} (2 - 2 e^{- z^{2}} z)

Schritte zur Lösung

\frac{d}{d z} ((2 z + e^{- z^{2}})^{6})

Wende die Kettenregel an:

6 (2 z + e^{- z^{2}})^{5} \frac{d}{d z} (2 z + e^{- z^{2}})

= 6 (2 z + e^{- z^{2}})^{5} \frac{d}{d z} (2 z + e^{- z^{2}})

\frac{d}{d z} (2 z + e^{- z^{2}}) = 2 - 2 e^{- z^{2}} z

= 6 (2 z + e^{- z^{2}})^{5} (2 - 2 e^{- z^{2}} z)

Graph

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