(\partial)/(\partial x)(1+e^{2x})

Lösung

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

2 e^{2 x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (1) + \frac{\partial}{\partial x} (e^{2 x})

\frac{\partial}{\partial x} (1) = 0

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

= 0 + e^{2 x} \cdot 2

Vereinfache

= 2 e^{2 x}

\int_{- 1}^{3} (t + 2) (t^{2} - 2 t + 4) d t

\frac{\partial}{\partial x} (x^{2} + y^{2} - 2 x - 2 y)

a re a f (x) = 2 sin (x) + sin (2 x), y = 0, 0 \leq x \leq π

x^{^{'}} = x - 15

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