derivative of |sec(x|)

Lösung

\frac{d}{d x} (∣ sec (x) ∣)

\frac{sec ^{2} ( x ) tan ( x )}{∣ sec ( x ) ∣}

Schritte zur Lösung

\frac{d}{d x} (∣ sec (x) ∣)

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

\frac{\partial}{\partial y} (ln (x^{2} - y^{2}))

d er i v a t i v e (1 + x^{2})^{2}

\int (7 x^{5} + 6 x^{4} - 3 x^{3} - 9 x + 5) d x

\int \frac{x ^{2} - 64}{x ( x - 1 ) ^{2}} d x

\int \frac{1}{y 1 + ( ln ( y ) ) ^{2}} d y