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Beliebt Rechnen >

derivative (6+x)/(1-6x)

Lösung

ableitung von

\frac{6 + x}{1 - 6 x}

Lösung

\frac{37}{( 1 - 6 x ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{6 + x}{1 - 6 x})

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 6 + x ) ( 1 - 6 x ) - \frac{d}{d x} ( 1 - 6 x ) ( 6 + x )}{( 1 - 6 x ) ^{2}}

\frac{d}{d x} (6 + x) = 1

\frac{d}{d x} (1 - 6 x) = - 6

= \frac{1 \cdot ( 1 - 6 x ) - ( - 6 ) ( 6 + x )}{( 1 - 6 x ) ^{2}}

Vereinfache

\frac{1 \cdot ( 1 - 6 x ) - ( - 6 ) ( 6 + x )}{( 1 - 6 x ) ^{2}} : \frac{37}{( 1 - 6 x ) ^{2}}

= \frac{37}{( 1 - 6 x ) ^{2}}

Graph

Beliebte Beispiele

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