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Beliebt Rechnen >

derivative of arccosh(sec(x))

Lösung

\frac{d}{d x} (arccosh (sec (x)))

Lösung

\frac{sec ( x ) tan ( x )}{sec ( x ) - 1 sec ( x ) + 1}

Schritte zur Lösung

\frac{d}{d x} (arccosh (sec (x)))

Wende die Kettenregel an:

\frac{1}{sec ( x ) - 1 sec ( x ) + 1} \frac{d}{d x} (sec (x))

= \frac{1}{sec ( x ) - 1 sec ( x ) + 1} \frac{d}{d x} (sec (x))

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= \frac{1}{sec ( x ) - 1 sec ( x ) + 1} sec (x) tan (x)

Vereinfache

\frac{1}{sec ( x ) - 1 sec ( x ) + 1} sec (x) tan (x) : \frac{sec ( x ) tan ( x )}{sec ( x ) - 1 sec ( x ) + 1}

= \frac{sec ( x ) tan ( x )}{sec ( x ) - 1 sec ( x ) + 1}

Graph

Beliebte Beispiele

steigung (13,0),(-2,-12)

s l o p e (13, 0), (- 2, - 12)

integral from 1 to 6 of xln(x)

\int_{1}^{6} x ln (x) d x

slopeintercept (46,381),(64,444)

s l o p e in t erce pt (46, 381), (64, 444)

derivative of (6000/x)

\frac{d}{d x} (\frac{6000}{x})

integral of 1/(2sin(x)cos(x))

\int \frac{1}{2 sin ( x ) cos ( x )} d x