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Beliebt Rechnen >

derivative of arctan(x/8)

Lösung

\frac{d}{d x} (arctan (\frac{x}{8}))

Lösung

\frac{8}{x ^{2} + 64}

Schritte zur Lösung

\frac{d}{d x} (arctan (\frac{x}{8}))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{( \frac{x}{8} ) ^{2} + 1} \cdot \frac{1}{8} : \frac{8}{x ^{2} + 64}

= \frac{8}{x ^{2} + 64}

Graph

Beliebte Beispiele

integral of x^3(1/x+6x^2)

\int x^{3} (\frac{1}{x} + 6 x^{2}) d x

integral of 7x^6sin(x^7)

\int 7 x^{6} sin (x^{7}) d x

integral of xsqrt(x^2-3)

\int x x^{2} - 3 d x

inverselaplace 1/(s+2)

in v erse l a pl a ce \frac{1}{s + 2}

fläche 8x+6,x-x^2,-6,-1

a re a 8 x + 6, x - x^{2}, - 6, - 1