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Beliebt Rechnen >

derivative of (a-b/x ^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

2 (a - \frac{b}{x}) \frac{d}{d x} (a - \frac{b}{x})

= 2 (a - \frac{b}{x}) \frac{d}{d x} (a - \frac{b}{x})

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

= 2 (a - \frac{b}{x}) \frac{b}{x ^{2}}

Vereinfache

2 (a - \frac{b}{x}) \frac{b}{x ^{2}} : \frac{2 b ( a x - b )}{x ^{3}}

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

Graph

Beliebte Beispiele

sum from n=1 to infinity of 2/(n*(n+1))

n = 1 \sum \infty \frac{2}{n \cdot ( n + 1 )}

derivative g(x)=(4x^3+6x^2)^5

d er i v a t i v e g (x) = (4 x^{3} + 6 x^{2})^{5}

d/(dθ)(2sin^2(θ))

\frac{d}{d θ} (2 sin^{2} (θ))

derivative of (ax-b(cx^2))

\frac{d}{d x} ((a x - b) (c x^{2}))

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\int sin (ln (9 x)) d x