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Beliebt Rechnen >

derivative of ln(x-pi/2)

Lösung

\frac{d}{d x} (ln (x - \frac{π}{2}))

Lösung

\frac{2}{2 x - π}

Schritte zur Lösung

\frac{d}{d x} (ln (x - \frac{π}{2}))

Wende die Kettenregel an:

\frac{1}{x - \frac{π}{2}} \frac{d}{d x} (x - \frac{π}{2})

= \frac{1}{x - \frac{π}{2}} \frac{d}{d x} (x - \frac{π}{2})

\frac{d}{d x} (x - \frac{π}{2}) = 1

= \frac{1}{x - \frac{π}{2}} \cdot 1

Vereinfache

\frac{1}{x - \frac{π}{2}} \cdot 1 : \frac{2}{2 x - π}

= \frac{2}{2 x - π}

Graph

Beliebte Beispiele

limit as x approaches infinity of 42+x

x \to \infty lim (42 + x)

y^'+y=x+sqrt(5)

y^{^{'}} + y = x + 5

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\int \frac{1}{64 + x ^{2}} d x

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\int \frac{( x ^{3} )}{1 + x ^{2}} d x

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