derivative of a/(2y)

Lösung

\frac{d}{d x} (\frac{a}{2 y})

- \frac{a \frac{d y}{d x}}{2 y ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{a}{2 y})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{a}{2} \frac{d}{d x} (\frac{1}{y})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{a}{2} \frac{d}{d x} (y^{- 1})

Wende die Kettenregel an:

- \frac{1}{y ^{2}} \frac{d y}{d x}

= - \frac{1}{y ^{2}} \frac{d y}{d x}

Vereinfache

\frac{a}{2} (- \frac{1}{y ^{2}} \frac{d y}{d x}) : - \frac{a \frac{d y}{d x}}{2 y ^{2}}

= - \frac{a \frac{d y}{d x}}{2 y ^{2}}

t^{3} y^{^{'}} + 4 t^{2} y = 0

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

\frac{\partial}{\partial x} (2 x^{2} + 3 y^{2} + z^{2})

\frac{d}{d x} (\frac{2 x + 1}{x - 3})

\frac{d}{d x} (sin (ln (3 x^{2} + x)))