de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (cos(x)^{-1})

Lösung

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

Lösung

sec (x) tan (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

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

Vereinfache

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

= sec (x) tan (x)

Graph

Beliebte Beispiele

integral of (-14sin(x))

\int (- 14 sin (x)) d x

derivative of ln(3x^2+2)

\frac{d}{d x} (ln (3 x^{2} + 2))

integral from 0 to infinity of e^{-0.4x}

\int_{0}^{\infty} e^{- 0.4 x} d x

integral of e^x+e^{-x}

\int e^{x} + e^{- x} d x

integral of (2xy+4x^3)

\int (2 x y + 4 x^{3}) d x