derivative of sec(x^3e^x)

Lösung

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

sec (x^{3} e^{x}) tan (x^{3} e^{x}) (3 x^{2} e^{x} + e^{x} x^{3})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= sec (x^{3} e^{x}) tan (x^{3} e^{x}) (3 x^{2} e^{x} + e^{x} x^{3})

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