derivative of 1/(2e^2e^{2x})

Lösung

\frac{d}{d x} (\frac{1}{2 e ^{2}} e^{2 x})

e^{2 x - 2}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2 e ^{2}} e^{2 x})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x) = 2

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

Vereinfache

\frac{1}{2 e ^{2}} e^{2 x} \cdot 2 : e^{2 x - 2}

= e^{2 x - 2}

\int \frac{( u ^{2} ) ^{22}}{1 + ( u ^{2} ) ^{22}} d (u^{2})^{2}

x^{6} + y^{5} x^{7} + 3 y^{^{'}} = 0, y (0) = 0

\frac{d x}{d y} = 2 x - 5 x + 1

\int_{0}^{\infty} 2 e^{- x} d x

y^{^{'}} = \frac{y}{2} + 4 e^{\frac{t}{2}}