derivative f(x)=e^{\sqrt[3]{x}}

Lösung

ableitung von

f (x) = e^{3 x}

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x) = \frac{1}{3 x ^{\frac{2}{3}}}

= e^{3 x} \frac{1}{3 x ^{\frac{2}{3}}}

Vereinfache

e^{3 x} \frac{1}{3 x ^{\frac{2}{3}}} : \frac{e ^{3 x}}{3 x ^{\frac{2}{3}}}

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

x \to 0 lim (x^{4} cos (\frac{7}{x}))

\int_{- 1}^{1} 7 x^{2} - 4 x - 3 d x

t \frac{d y}{d t} + 5 y = t^{3}

\int \frac{1}{8 + 2 x - x ^{2}} d x

x \to \infty lim (8 x^{2})