(\partial)/(\partial x)(e^{ax^3})

Lösung

\frac{\partial}{\partial x} (e^{a x^{3}})

e^{a x^{3}} \cdot 3 a x^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{a x^{3}})

Wende die Kettenregel an:

e^{a x^{3}} \frac{\partial}{\partial x} (a x^{3})

= e^{a x^{3}} \frac{\partial}{\partial x} (a x^{3})

\frac{\partial}{\partial x} (a x^{3}) = 3 a x^{2}

= e^{a x^{3}} \cdot 3 a x^{2}

\int \frac{1}{sin ( θ ) ( cos ^{2} ( θ ) + 4 )} d x

\int e^{1.5 x} d x

\int e^{6 x} sin (4 x) d x

in v erse l a pl a ce \frac{( 3 s + 16 )}{s ^{2} - 16}

x \to 2 lim (3 ∣ x - 2 ∣)