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Beliebt Rechnen >

derivative of 1/((9+x^2))

Lösung

\frac{d}{d x} (\frac{1}{( 9 + x ) ^{2}})

Lösung

- \frac{2}{( 9 + x ) ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{( 9 + x ) ^{2}})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((9 + x)^{- 2})

Wende die Kettenregel an:

- \frac{2}{( 9 + x ) ^{3}} \frac{d}{d x} (9 + x)

= - \frac{2}{( 9 + x ) ^{3}} \frac{d}{d x} (9 + x)

\frac{d}{d x} (9 + x) = 1

= - \frac{2}{( 9 + x ) ^{3}} \cdot 1

Vereinfache

= - \frac{2}{( 9 + x ) ^{3}}

Graph

Beliebte Beispiele

derivative of ln(6-5x)

\frac{d}{d x} (ln (6 - 5 x))

derivative of 20x^2

\frac{d}{d x} (20 x^{2})

derivative y= x/(sqrt(x^2+5))

d er i v a t i v e y = \frac{x}{x ^{2} + 5}

9y^{''}-6y^'+8y=0

9 y^{^{''}} - 6 y^{^{'}} + 8 y = 0

laplacetransform sin^2(2t)

l a pl a ce t r an s f or m sin^{2} (2 t)