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Beliebt Rechnen >

derivative of e^{ax^6}

Lösung

\frac{d}{d x} (e^{a x^{6}})

Lösung

e^{a x^{6}} \cdot 6 a x^{5}

Schritte zur Lösung

\frac{d}{d x} (e^{a x^{6}})

Wende die Kettenregel an:

e^{a x^{6}} \frac{d}{d x} (a x^{6})

= e^{a x^{6}} \frac{d}{d x} (a x^{6})

\frac{d}{d x} (a x^{6}) = 6 a x^{5}

= e^{a x^{6}} \cdot 6 a x^{5}

Graph

Beliebte Beispiele

derivative f(x)=(x)^3*e^{(3x)}

d er i v a t i v e f (x) = (x)^{3} \cdot e^{(3 x)}

2 y^{2} = \frac{d y}{d x}

integral from 1 to e of ((x^2-1))/x

\int_{1}^{e} \frac{( x ^{2} - 1 )}{x} d x

d/(dt)(e^{-2t})

\frac{d}{d t} (e^{- 2 t})

derivative of x^4+1/(32x^2)

\frac{d}{d x} (x^{4} + \frac{1}{32 x ^{2}})