(\partial)/(\partial x)(sin(x/2))

Lösung

\frac{\partial}{\partial x} (sin (\frac{x}{2}))

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

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (\frac{x}{2}))

Wende die Kettenregel an:

cos (\frac{x}{2}) \frac{\partial}{\partial x} (\frac{x}{2})

= cos (\frac{x}{2}) \frac{\partial}{\partial x} (\frac{x}{2})

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

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

\int_{1}^{4} x^{2} - 2 x + 3 d x

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

\frac{d}{d x} ((2 - x)^{3})

\int - \frac{1}{2 x} d x

x \to \frac{π}{3} - lim (cot (3 x))