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Beliebt Rechnen >

derivative 1/(x+6)

Lösung

ableitung von

\frac{1}{x + 6}

Lösung

- \frac{1}{( x + 6 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x + 6})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((x + 6)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( x + 6 ) ^{2}} \frac{d}{d x} (x + 6)

= - \frac{1}{( x + 6 ) ^{2}} \frac{d}{d x} (x + 6)

\frac{d}{d x} (x + 6) = 1

= - \frac{1}{( x + 6 ) ^{2}} \cdot 1

Vereinfache

= - \frac{1}{( x + 6 ) ^{2}}

Graph

Beliebte Beispiele

integral of 1/(x(ln(x))^{15)}

\int \frac{1}{x ( ln ( x ) ) ^{15}} d x

derivative of (2x^3-7^8)

\frac{d}{d x} ((2 x^{3} - 7)^{8})

derivative of ln(x/2 (x-2))

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

limit as x approaches 0-of (x+10)/(x^2)

x \to 0 - lim (\frac{x + 10}{x ^{2}})

integral of (8x^4+4x^3-6x^2-4x+5)

\int (8 x^{4} + 4 x^{3} - 6 x^{2} - 4 x + 5) d x