de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 1/(sec^2(x))

Lösung

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

Lösung

- sin (2 x)

Schritte zur Lösung

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

Vereinfache

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

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

Wende die Kettenregel an:

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

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

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

= 2 cos (x) (- sin (x))

Vereinfache

2 cos (x) (- sin (x)) : - sin (2 x)

= - sin (2 x)

Graph

Beliebte Beispiele

integral of 3/(sqrt(4x-x^2))

\int \frac{3}{4 x - x ^{2}} d x

derivative g(x)=(6x^2)/(2-x)

d er i v a t i v e g (x) = \frac{6 x ^{2}}{2 - x}

integral of sin^4(3x)-cos^4(3x)

\int sin^{4} (3 x) - cos^{4} (3 x) d x

integral of e^{-st}*sin(t)

\int e^{- s t} \cdot sin (t) d t

(dy)/(dx)=xe^{2y}

\frac{d y}{d x} = x e^{2 y}