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Beliebt Rechnen >

derivative y=e^{((3x^2))/2}

Lösung

ableitung von

y = e^{\frac{( 3 x ^{2} )}{2}}

Lösung

e^{\frac{3 x ^{2}}{2}} \cdot 3 x

Schritte zur Lösung

\frac{d}{d x} (e^{\frac{3 x ^{2}}{2}})

Wende die Kettenregel an:

e^{\frac{3 x ^{2}}{2}} \frac{d}{d x} (\frac{3 x ^{2}}{2})

= e^{\frac{3 x ^{2}}{2}} \frac{d}{d x} (\frac{3 x ^{2}}{2})

\frac{d}{d x} (\frac{3 x ^{2}}{2}) = 3 x

= e^{\frac{3 x ^{2}}{2}} \cdot 3 x

Graph

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