derivative of (cos(x)/(e^{2x)}-2)

Lösung

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

- \frac{sin ( x ) + 2 cos ( x )}{e ^{2 x}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{cos ( x )}{e ^{2 x}}) = - \frac{sin ( x ) + 2 cos ( x )}{e ^{2 x}}

\frac{d}{d x} (2) = 0

= - \frac{sin ( x ) + 2 cos ( x )}{e ^{2 x}} - 0

Vereinfache

= - \frac{sin ( x ) + 2 cos ( x )}{e ^{2 x}}

y^{^{'}} + \frac{1}{x} y = 2

n \to \infty lim ((\frac{4}{5})^{n})

x \to \infty lim (ln (6 x))

y^{3} - (2 x + 6) + 3 x y^{2} y^{^{'}} = 0

x \to - 1 + lim (2 - x)