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Beliebt Rechnen >

(d^2)/(dx^2)(x/(x^2-6))

Lösung

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x ^{2} - 6})

Lösung

- \frac{2 x ( - x ^{2} - 18 )}{( x ^{2} - 6 ) ^{3}}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x ^{2} - 6})

\frac{d}{d x} (\frac{x}{x ^{2} - 6}) = \frac{- x ^{2} - 6}{( x ^{2} - 6 ) ^{2}}

= \frac{d}{d x} (\frac{- x ^{2} - 6}{( x ^{2} - 6 ) ^{2}})

\frac{d}{d x} (\frac{- x ^{2} - 6}{( x ^{2} - 6 ) ^{2}}) = - \frac{2 x ( - x ^{2} - 18 )}{( x ^{2} - 6 ) ^{3}}

= - \frac{2 x ( - x ^{2} - 18 )}{( x ^{2} - 6 ) ^{3}}

Beliebte Beispiele

(dy)/(dx)+3y=e^{4x}

\frac{d y}{d x} + 3 y = e^{4 x}

(\partial)/(\partial x)(2k^3s^2)

\frac{\partial}{\partial x} (2 k^{3} s^{2})

integral of (-2)/(x^2-1)

\int \frac{- 2}{x ^{2} - 1} d x

limit as x approaches 0+of (x^2-15)/x

x \to 0 + lim (\frac{x ^{2} - 15}{x})

derivative of x^2sin(6x)

\frac{d}{d x} (x^{2} sin (6 x))