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Beliebt Rechnen >

derivative of arcsec(sqrt(x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

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

Vereinfache

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

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

Graph

Beliebte Beispiele

y^{''}+x^2y^'=0,y(0)=1,y^'(0)=2

y^{^{''}} + x^{2} y^{^{'}} = 0, y (0) = 1, y^{^{'}} (0) = 2

derivative f(x)=(sqrt(x))/(x+5)

d er i v a t i v e f (x) = \frac{x}{x + 5}

integral of 1/(8x+3)

\int \frac{1}{8 x + 3} d x

integral of-1/(12-x)

\int - \frac{1}{12 - x} d x

tangent y=x^2-5x+5,(6,11)

t an g e n t y = x^{2} - 5 x + 5, (6, 11)