(\partial}{\partial x}(sin(\frac{5x)/y))

Lösung

\frac{\partial}{\partial x} (sin (\frac{5 x}{y}))

\frac{5 cos ( \frac{5 x}{y} )}{y}

Schritte zur Lösung

\frac{\partial}{\partial x} (sin (\frac{5 x}{y}))

Behandle

y

als Konstante

Wende die Kettenregel an:

cos (\frac{5 x}{y}) \frac{\partial}{\partial x} (\frac{5 x}{y})

= cos (\frac{5 x}{y}) \frac{\partial}{\partial x} (\frac{5 x}{y})

\frac{\partial}{\partial x} (\frac{5 x}{y}) = \frac{5}{y}

= cos (\frac{5 x}{y}) \frac{5}{y}

Multipliziere Brüche:

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

= \frac{5 cos ( \frac{5 x}{y} )}{y}

\frac{\partial}{\partial x} ((3 x y - 1) e^{- x y})

\int \frac{2}{3 x + 1} d x

\int_{4}^{8} ln (x^{2}) d x

\int_{0}^{\frac{π}{3}} x sec^{2} (x) d x

a re a 2 x, x^{2}