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Beliebt Rechnen >

derivative of (2-x^{-2})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

tangent y= x/(1+x^2),(2,0.4)

t an g e n t y = \frac{x}{1 + x ^{2}}, (2, 0.4)

(dy)/(dx)=(x^2y^3)/(x+3)

\frac{d y}{d x} = \frac{x ^{2} y ^{3}}{x + 3}

limit as x approaches 4+of (4-x)/(|4-x|)

x \to 4 + lim (\frac{4 - x}{∣ 4 - x ∣})

derivative of-5xe^x

\frac{d}{d x} (- 5 x e^{x})

derivative e^{5tsin(2t)}

d er i v a t i v e e^{5 t s i n (2 t)}