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Beliebt Rechnen >

derivative of arctan(9x)

Lösung

\frac{d}{d x} (arctan (9 x))

Lösung

\frac{9}{81 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} (arctan (9 x))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{( 9 x ) ^{2} + 1} \cdot 9 : \frac{9}{81 x ^{2} + 1}

= \frac{9}{81 x ^{2} + 1}

Graph

Beliebte Beispiele

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

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

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\frac{d}{d x} (\frac{( 3 x ^{7} - 7 x ^{2} + 113 )}{( 5 x ^{3} )})

integral of 3x^2-5x+7/x+2e^3

\int 3 x^{2} - 5 x + \frac{7}{x} + 2 e^{3} d x

y^{''}-6y^'+9y=0,y(0)=2,y^'(0)=0

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integral of 8/(4+x^2)

\int \frac{8}{4 + x ^{2}} d x