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Beliebt Rechnen >

derivative of f(x^{-1})x^2-8x-9x=-21

Lösung

\frac{d}{d x} (f (x)^{- 1}) x^{2} - 8 x - 9 x = - 21

Lösung

f (x) = - 21 + \frac{17 x}{2} + \frac{c _{1}}{x}

Schritte zur Lösung

\frac{d}{d x} ((f (x) x^{- 1}) x^{2}) - 8 x - 9 x = - 21

Isoliere

(f (x) x^{- 1} x^{2})^{'} : (f (x) x^{- 1} x^{2})^{'} = - 21 + 17 x

Wenn

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

dann

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

f (x) x^{- 1} x^{2} = \int - 21 + 17 x d x

\int - 21 + 17 x d x = - 21 x + \frac{17 x ^{2}}{2} + c_{1}

f (x) x^{- 1} x^{2} = - 21 x + \frac{17 x ^{2}}{2} + c_{1}

Isoliere

f (x) : f (x) = - 21 + \frac{17 x}{2} + \frac{c _{1}}{x}

f (x) = - 21 + \frac{17 x}{2} + \frac{c _{1}}{x}

Graph

Beliebte Beispiele

y^{^{'}} = \frac{y - 1}{x}

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\frac{d y}{d x} = - 2 (y - 40)

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