derivative of cos(x-1/2 x)

Lösung

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

- sin (x) - \frac{1}{2}

Schritte zur Lösung

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

Vereinfache

cos (x) - \frac{1}{2} x : cos (x) - \frac{x}{2}

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - sin (x) - \frac{1}{2}

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

v^{2} d x + x (x + v) d v = 0

\int \frac{x ^{3} + 2 x + 5}{x ^{2}} d x

\int_{- 2}^{1} 2 - x - x^{2} d x

n = 0 \sum \infty \frac{n}{( n - 2 ) !}