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Beliebt Rechnen >

derivative of 1/(2+3x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 + 3 x) = 3

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

Vereinfache

- \frac{1}{( 2 + 3 x ) ^{2}} \cdot 3 : - \frac{3}{( 2 + 3 x ) ^{2}}

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

Graph

Beliebte Beispiele

limit as x approaches+3 of 6

x \to + 3 lim (6)

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\int θ^{3} cos (θ) d θ

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\int_{0}^{\frac{π}{3}} 2 + sin (3 x) d x

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\int e^{- i w x} d x

(x-1)y^'+y(x-2)=0

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