derivative of e^{4x^{2+1}}

Lösung

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

e^{4 x^{3}} \cdot 12 x^{2}

Schritte zur Lösung

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

Vereinfache

e^{4 x^{2 + 1}} : e^{4 x^{3}}

= \frac{d}{d x} (e^{4 x^{3}})

Wende die Kettenregel an:

e^{4 x^{3}} \frac{d}{d x} (4 x^{3})

= e^{4 x^{3}} \frac{d}{d x} (4 x^{3})

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

= e^{4 x^{3}} \cdot 12 x^{2}

x \to 0 + lim (\frac{2}{x} - \frac{3}{2})

\int cos (x) (3 + 8 sin^{2} (x)) d x

x \to 3 + lim (\frac{3 x + 2}{x - 3})

\frac{d}{d x} (- e^{x} sin (x))

\int (e^{2 x} - e^{- 2 x}) d x