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Beliebt Rechnen >

derivative f(x)= 1/((3-x)^2)

Lösung

ableitung von

f (x) = \frac{1}{( 3 - x ) ^{2}}

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 - x) = - 1

= - \frac{2}{( 3 - x ) ^{3}} (- 1)

Vereinfache

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

Graph

Beliebte Beispiele

limit as x approaches 0-of \sqrt[3]{x}

x \to 0 - lim (3 x)

derivative 4t^{(-3)/8}

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derivative of pi/6

\frac{d}{d x} (\frac{π}{6})

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derivative of (ax/(b+c))

\frac{d}{d x} (\frac{a x}{b + c})