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

Lösung

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

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Multipliziere Brüche:

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

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

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

\int_{0}^{3} 2^{x} d x

n = 0 \sum \infty \frac{n ^{3}}{2 ^{n}}

\int \frac{1}{sin ^{2} ( a ) x} d x

y^{^{'}} = x^{5} + 2 x^{4} - x - 2