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Beliebt Rechnen >

derivative of ((x+2)/(sqrt(2-x)))

Lösung

\frac{d}{d x} (\frac{( x + 2 )}{2 - x})

Lösung

\frac{- x + 6}{2 ( 2 - x ) 2 - x}

Schritte zur Lösung

\frac{d}{d x} (\frac{( x + 2 )}{2 - x})

Wende die Quotientenregel an:

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

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

y^{''}+4y=12sin(2t)

y^{^{''}} + 4 y = 12 sin (2 t)

integral of e^{3x}(3x+1)

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

integral from 0 to t of cos^2(wt)

\int_{0}^{t} cos^{2} (wt) d t

integral of 3ay^2

\int 3 a y^{2} d y

derivative of (x+5/(x-1))

\frac{d}{d x} (\frac{x + 5}{x - 1})