derivative of 0.5(1-cos(x))

Lösung

\frac{d}{d x} (0.5 (1 - cos (x)))

0.5 sin (x)

Schritte zur Lösung

\frac{d}{d x} (0.5 (1 - cos (x)))

Entferne die Konstante:

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

= 0.5 \frac{d}{d x} (1 - cos (x))

Wende die Summen-/Differenzregel an:

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

= 0.5 (\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)

= 0.5 (0 - (- sin (x)))

Vereinfache

= 0.5 sin (x)

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

\frac{\partial}{\partial x} (2 x^{3} + 2 x y^{3})

\int \frac{1}{16 x} d x

\frac{\partial}{\partial x} (y^{3} sin (3 x))

d er i v a t i v e g (x) = \frac{( π ^{2} )}{x ^{2} + 4 x}