derivative y=e^{x^3}

Lösung

ableitung von

y = e^{x^{3}}

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

\frac{\partial}{\partial x} (arcsin (x y))

d er i v a t i v e x^{2} sin^{3} (3 x)

d er i v a t i v e x^{10} arctan (x)

\frac{\partial}{\partial y} (15 - 5 (y + 3)^{2})

\frac{\partial}{\partial x} (7 x^{3} cos (7 x^{2} y))