(\partial}{\partial s}(\frac{(3r+s))/t)

Lösung

\frac{\partial}{\partial s} (\frac{( 3 r + s )}{t})

\frac{1}{t}

Schritte zur Lösung

\frac{\partial}{\partial s} (\frac{( 3 r + s )}{t})

Behandle

r, t

als Konstanten

Entferne die Konstante:

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

= \frac{1}{t} \frac{\partial}{\partial s} (3 r + s)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{t} (\frac{\partial}{\partial s} (3 r) + \frac{\partial}{\partial s} (s))

\frac{\partial}{\partial s} (3 r) = 0

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

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

Vereinfache

= \frac{1}{t}

s l o p e in t erce pt (- 7.2) (8.2)

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\int \frac{5}{( x ^{2} + 4 )} d x

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

\frac{d}{d x} (\frac{x ^{2} - 4 x + 3}{( x - 2 ) ^{2}})