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Beliebt Rechnen >

derivative of ln(arccos(x))

Lösung

\frac{d}{d x} (ln (arccos (x)))

Lösung

- \frac{1}{arccos ( x ) 1 - x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (ln (arccos (x)))

Wende die Kettenregel an:

\frac{1}{arccos ( x )} \frac{d}{d x} (arccos (x))

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

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

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

Vereinfache

\frac{1}{arccos ( x )} (- \frac{1}{1 - x ^{2}}) : - \frac{1}{arccos ( x ) 1 - x ^{2}}

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

Graph

Beliebte Beispiele

2y^{''}+5y^'-18y=0

2 y^{^{''}} + 5 y^{^{'}} - 18 y = 0

(dx)/(dt)=t^{3/2},x(3)=7

\frac{d x}{d t} = t^{\frac{3}{2}}, x (3) = 7

derivative of 6x^{-1/2}

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

tangent y=2x^2+3/x

t an g e n t y = 2 x^{2} + \frac{3}{x}

(dy)/(dx)+y/x = 1/(x^2)

\frac{d y}{d x} + \frac{y}{x} = \frac{1}{x ^{2}}