derivative of sec(5x^3e^x)

Lösung

\frac{d}{d x} (sec (5 x^{3} e^{x}))

sec (5 x^{3} e^{x}) tan (5 x^{3} e^{x}) \cdot 5 (3 x^{2} e^{x} + e^{x} x^{3})

Schritte zur Lösung

\frac{d}{d x} (sec (5 x^{3} e^{x}))

Wende die Kettenregel an:

sec (5 x^{3} e^{x}) tan (5 x^{3} e^{x}) \frac{d}{d x} (5 x^{3} e^{x})

= sec (5 x^{3} e^{x}) tan (5 x^{3} e^{x}) \frac{d}{d x} (5 x^{3} e^{x})

\frac{d}{d x} (5 x^{3} e^{x}) = 5 (3 x^{2} e^{x} + e^{x} x^{3})

= sec (5 x^{3} e^{x}) tan (5 x^{3} e^{x}) \cdot 5 (3 x^{2} e^{x} + e^{x} x^{3})

x \to 0 lim (6 cos (6 x))

n = 1 \sum \infty \frac{3 ^{n}}{n ! \cdot n}

x \to \infty lim (\frac{1}{x ^{\frac{7}{2}}})

in v erse l a pl a ce \frac{( s + 1 )}{( s + 6 )}

\int \frac{x}{x + y} d x