de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of arctanh(sin(x))

Lösung

\frac{d}{d x} (arctanh (sin (x)))

Lösung

sec (x)

Schritte zur Lösung

\frac{d}{d x} (arctanh (sin (x)))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= sec (x)

Graph

Beliebte Beispiele

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

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

integral of (4x^2-3cos(x))

\int (4 x^{2} - 3 cos (x)) d x

integral of sin(10x)cos(5x)

\int sin (10 x) cos (5 x) d x

f(x)=e^{ln(sin(x^2))}sqrt(2x+1)

f (x) = e^{l n (s i n (x^{2}))} 2 x + 1

integral of e^{4x}cos(6x)

\int e^{4 x} cos (6 x) d x