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Beliebt Rechnen >

derivative arcsec(6x)

Lösung

ableitung von

arcsec (6 x)

Lösung

\frac{1}{x ^{2} 36 x ^{2} - 1}

Schritte zur Lösung

\frac{d}{d x} (arcsec (6 x))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{( 6 x ) ^{2} ( 6 x ) ^{2} - 1} \cdot 6 : \frac{1}{x ^{2} 36 x ^{2} - 1}

= \frac{1}{x ^{2} 36 x ^{2} - 1}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(e^xg)

\frac{\partial}{\partial x} (e^{x} g)

36y^{''}-36y^'-7y=0

36 y^{^{''}} - 36 y^{^{'}} - 7 y = 0

limit as x approaches a of f(x)

x \to a lim (f (x))

integral of e^{-t}sin(t)

\int e^{- t} sin (t) d t

integral of (3x^2+x-2)

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