de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of ln(cos(x^2))

Lösung

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

Lösung

- 2 x tan (x^{2})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= - 2 x tan (x^{2})

Graph

Beliebte Beispiele

integral of sin^2((pix)/6)

\int sin^{2} (\frac{π x}{6}) d x

limit as x approaches 1+of x^{2/(1-x)}

x \to 1 + lim (x^{\frac{2}{1 - x}})

derivative 4+sqrt(7x)

d er i v a t i v e 4 + 7 x

fläche y=2x,y=sqrt(x)

a re a y = 2 x, y = x

derivative of sec(2x^3)

\frac{d}{d x} (sec (2 x^{3}))