(\partial}{\partial s}(\frac{s-r)/t)

Lösung

\frac{\partial}{\partial s} (\frac{s - r}{t})

\frac{1}{t}

Schritte zur Lösung

\frac{\partial}{\partial s} (\frac{s - r}{t})

Behandle

r, t

als Konstanten

Entferne die Konstante:

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

= \frac{1}{t} \frac{\partial}{\partial s} (s - r)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{t} (\frac{\partial}{\partial s} (s) - \frac{\partial}{\partial s} (r))

\frac{\partial}{\partial s} (s) = 1

\frac{\partial}{\partial s} (r) = 0

= \frac{1}{t} (1 - 0)

Vereinfache

= \frac{1}{t}

\frac{d}{d x} (\frac{x}{2 - x})

s l o p e x^{2} + y^{2} = 25

\int \frac{8}{( x ^{2} + 1 ) ^{\frac{3}{2}}} d x

x^{2} \frac{d y}{d x} + 2 x y = 5 y^{4}

\int \frac{x}{4} d x