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Beliebt Rechnen >

derivative (e^y+e^{-y})/2

Lösung

ableitung von

\frac{e ^{y} + e ^{- y}}{2}

Lösung

\frac{1}{2} (e^{y} - e^{- y})

Schritte zur Lösung

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

Entferne die Konstante:

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

= \frac{1}{2} \frac{d}{d y} (e^{y} + e^{- y})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{2} (\frac{d}{d y} (e^{y}) + \frac{d}{d y} (e^{- y}))

\frac{d}{d y} (e^{y}) = e^{y}

\frac{d}{d y} (e^{- y}) = - e^{- y}

= \frac{1}{2} (e^{y} - e^{- y})

Graph

Beliebte Beispiele

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\int 19 x^{2} sin (π x) d x