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Beliebt Rechnen >

derivative of 1/(4+x)

Lösung

\frac{d}{d x} (\frac{1}{4 + x})

Lösung

- \frac{1}{( 4 + x ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{4 + x})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((4 + x)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( 4 + x ) ^{2}} \frac{d}{d x} (4 + x)

= - \frac{1}{( 4 + x ) ^{2}} \frac{d}{d x} (4 + x)

\frac{d}{d x} (4 + x) = 1

= - \frac{1}{( 4 + x ) ^{2}} \cdot 1

Vereinfache

= - \frac{1}{( 4 + x ) ^{2}}

Graph

Beliebte Beispiele

derivative of (4x-9ln((2x-5)(x-2)))

\frac{d}{d x} ((4 x - 9) ln ((2 x - 5) (x - 2)))

integral from 2 to 1 of (2/(x^2)-3x^2)

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

integral of 10(x-6)^4

\int 10 (x - 6)^{4} d x

integral of 1/(x^2-x-2)

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

2 y^{^{''}} + 8 y^{^{'}} = 0