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Beliebt Rechnen >

derivative y=3+(12)/(2-x)

Lösung

ableitung von

y = 3 + \frac{12}{2 - x}

Lösung

\frac{12}{( - x + 2 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (3 + \frac{12}{2 - x})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3) + \frac{d}{d x} (\frac{12}{2 - x})

\frac{d}{d x} (3) = 0

\frac{d}{d x} (\frac{12}{2 - x}) = \frac{12}{( 2 - x ) ^{2}}

= 0 + \frac{12}{( 2 - x ) ^{2}}

Vereinfache

= \frac{12}{( - x + 2 ) ^{2}}

Graph

Beliebte Beispiele

derivative 10x(x^2+7)^4

d er i v a t i v e 10 x (x^{2} + 7)^{4}

derivative ((x+4)/(x-4))^5

d er i v a t i v e (\frac{x + 4}{x - 4})^{5}

integral of 1/(2-x^2)

\int \frac{1}{2 - x ^{2}} d x

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n = 4 \sum \infty \frac{8}{n ^{2} - 1}

fläche 2x^2,2x+6,-1,0

a re a 2 x^{2}, 2 x + 6, - 1, 0