(\partial)/(\partial x)(sin((x*y)/(y-4)))

Lösung

\frac{\partial}{\partial x} (sin (\frac{x \cdot y}{y - 4}))

\frac{y cos ( \frac{x y}{y - 4} )}{y - 4}

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (\frac{x y}{y - 4}))

Behandle

y

als Konstante

Wende die Kettenregel an:

cos (\frac{x y}{y - 4}) \frac{\partial}{\partial x} (\frac{x y}{y - 4})

= cos (\frac{x y}{y - 4}) \frac{\partial}{\partial x} (\frac{x y}{y - 4})

\frac{\partial}{\partial x} (\frac{x y}{y - 4}) = \frac{y}{y - 4}

= cos (\frac{x y}{y - 4}) \frac{y}{y - 4}

Multipliziere Brüche:

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

= \frac{y cos ( \frac{x y}{y - 4} )}{y - 4}

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

y^{^{''}} + 4 y = 0

\int x sin (1 - 2 x) d x

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

a re a x^{3}, x