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Beliebt Rechnen >

derivative of 1/((x+8^2))

Lösung

\frac{d}{d x} (\frac{1}{( x + 8 ) ^{2}})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{( x + 8 ) ^{2}})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((x + 8)^{- 2})

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x + 8) = 1

= - \frac{2}{( x + 8 ) ^{3}} \cdot 1

Vereinfache

= - \frac{2}{( x + 8 ) ^{3}}

Graph

Beliebte Beispiele

integral of 8csc(x)

\int 8 csc (x) d x

derivative f(x)=sqrt(3-4x)

d er i v a t i v e f (x) = 3 - 4 x

sum from n=0 to infinity of 1/3*(1/3)^n

n = 0 \sum \infty \frac{1}{3} \cdot (\frac{1}{3})^{n}

y^{^{'}} + \frac{4}{x} y = x^{9}

(dy)/(dx)=0.067y(1-y/(2800))

\frac{d y}{d x} = 0.067 y (1 - \frac{y}{2800})