derivative of e^{ex}

Lösung

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

e^{e x + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{e x} e

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

e^{e x} e = e^{e x + 1}

= e^{e x + 1}

\int \frac{4 - x}{16 - x ^{2}} d x

d er i v a t i v e f (x) = 5 (9 x^{7} + 3 x^{4} - 2)^{3}

x \to 0 + lim (x^{\frac{4}{x}})

\int \frac{x ^{4} + 5 x - 3}{x ^{2}} d x

\frac{d}{d x} ((3 x^{6} - 2 x^{4})^{4})