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Beliebt Rechnen >

derivative of (1+e^x^3)

Lösung

\frac{d}{d x} ((1 + e^{x})^{3})

Lösung

3 (1 + e^{x})^{2} e^{x}

Schritte zur Lösung

\frac{d}{d x} ((1 + e^{x})^{3})

Wende die Kettenregel an:

3 (1 + e^{x})^{2} \frac{d}{d x} (1 + e^{x})

= 3 (1 + e^{x})^{2} \frac{d}{d x} (1 + e^{x})

\frac{d}{d x} (1 + e^{x}) = e^{x}

= 3 (1 + e^{x})^{2} e^{x}

Graph

Beliebte Beispiele

laplacetransform e^{-2t}cos(3t)

l a pl a ce t r an s f or m e^{- 2 t} cos (3 t)

(\partial)/(\partial x)(xe^y+x^4y+y^3)

\frac{\partial}{\partial x} (x e^{y} + x^{4} y + y^{3})

derivative of ln(x^2+y^4)

\frac{d}{d x} (ln (x^{2} + y^{4}))

laplacetransform 4cos(5t)

l a pl a ce t r an s f or m 4 cos (5 t)

y^{^{'}} + y = 3