derivative of e^{2x}*2-e^x

Lösung

\frac{d}{d x} (e^{2 x} \cdot 2 - e^{x})

4 e^{2 x} - e^{x}

Schritte zur Lösung

\frac{d}{d x} (e^{2 x} \cdot 2 - e^{x})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{2 x} \cdot 2) - \frac{d}{d x} (e^{x})

\frac{d}{d x} (e^{2 x} \cdot 2) = 4 e^{2 x}

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

= 4 e^{2 x} - e^{x}

x \to \infty lim (5 x - 10)

\int_{- 1}^{2} \frac{1}{x ^{3}} d x

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

x \frac{d y}{d x} - 4 y = x^{6} e^{x}

x \to - 2 lim (- 3 x^{2} - x - 8)