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Beliebt Rechnen >

(df)/(ds)=12s+(5s)/(sqrt(9-s^2))

Lösung

\frac{df}{d s} = 12 s + \frac{5 s}{9 - s ^{2}}

Lösung

f (s) = 6 s^{2} - 5 9 - s^{2} + c_{1}

Schritte zur Lösung

\frac{df}{d s} = 12 s + \frac{5 s}{9 - s ^{2}}

Ersetze

\frac{df}{d s}

mit

f^{'} (s)

f^{^{'}} (s) = 12 s + \frac{5 s}{9 - s ^{2}}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (s) = \int 12 s + \frac{5 s}{9 - s ^{2}} d s

\int 12 s + \frac{5 s}{9 - s ^{2}} d s = 6 s^{2} - 5 9 - s^{2} + c_{1}

f (s) = 6 s^{2} - 5 9 - s^{2} + c_{1}

Graph

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