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Beliebt Rechnen >

derivative (6z+e^{-z^2})^3

Lösung

ableitung von

(6 z + e^{- z^{2}})^{3}

Lösung

3 (6 z + e^{- z^{2}})^{2} (6 - 2 e^{- z^{2}} z)

Schritte zur Lösung

\frac{d}{d z} ((6 z + e^{- z^{2}})^{3})

Wende die Kettenregel an:

3 (6 z + e^{- z^{2}})^{2} \frac{d}{d z} (6 z + e^{- z^{2}})

= 3 (6 z + e^{- z^{2}})^{2} \frac{d}{d z} (6 z + e^{- z^{2}})

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

= 3 (6 z + e^{- z^{2}})^{2} (6 - 2 e^{- z^{2}} z)

Graph

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