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Beliebt Rechnen >

derivative of ln(sec(x-tan(x)))

Lösung

\frac{d}{d x} (ln (sec (x) - tan (x)))

Lösung

- sec (x)

Schritte zur Lösung

\frac{d}{d x} (ln (sec (x) - tan (x)))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= - sec (x)

Graph

Beliebte Beispiele

derivative of (2-x/x)

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

integral from-pi to pi of cos(nx)

\int_{- π}^{π} cos (n x) d x

y^{^{'}} = cos (x)

inverselaplace (e^{-2s})/(s+3)

in v erse l a pl a ce \frac{e ^{- 2 s}}{s + 3}

derivative of x^2*tan(x)

\frac{d}{d x} (x^{2} \cdot tan (x))