(\partial}{\partial s}(\frac{(2r+s))/t)

Lösung

\frac{\partial}{\partial s} (\frac{( 2 r + s )}{t})

\frac{1}{t}

Schritte zur Lösung

\frac{\partial}{\partial s} (\frac{( 2 r + s )}{t})

Behandle

r, t

als Konstanten

Entferne die Konstante:

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

= \frac{1}{t} \frac{\partial}{\partial s} (2 r + s)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{t} (\frac{\partial}{\partial s} (2 r) + \frac{\partial}{\partial s} (s))

\frac{\partial}{\partial s} (2 r) = 0

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

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

Vereinfache

= \frac{1}{t}

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d er i v a t i v e \frac{2 x + 8 x ^{2}}{( 1 + 8 x ) ^{2}}

\int_{0}^{\frac{1}{3}} \frac{4}{1 + 9 x ^{2}} d x