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

Lösung

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

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

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

x \to 1 lim (\frac{x}{x - 1})

d er i v a t i v e sin^{2} (y)

\int \frac{sin ^{3} ( x )}{1 - cos ( x )} d x

\int (e^{2 x} cos (e^{2 x})) d x

d er i v a t i v e f (t) = \frac{t ^{2} - 4}{t - 2}