derivative of 2(1+cos(x))

Lösung

\frac{d}{d x} (2 (1 + cos (x)))

- 2 sin (x)

Schritte zur Lösung

\frac{d}{d x} (2 (1 + cos (x)))

Entferne die Konstante:

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

= 2 \frac{d}{d x} (1 + cos (x))

Wende die Summen-/Differenzregel an:

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

= 2 (\frac{d}{d x} (1) + \frac{d}{d x} (cos (x)))

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

\frac{d}{d x} (cos (x)) = - sin (x)

= 2 (0 - sin (x))

Vereinfache

= - 2 sin (x)

\frac{d}{d x} (\frac{1 - e ^{7 x}}{1 + e ^{7 x}})

t an g e n t y = x^{\frac{8}{5}}

x \to 1 lim (e^{5 x^{5} - 5 x})

\int_{0}^{π} 1 - cos (2 x) d x

\int 2 x + 3 d x