What is the derivative of arcsin(sqrt(sin(13x))) ?

The derivative of arcsin(sqrt(sin(13x))) is (13cos(13x))/(2sqrt(sin(13x))\sqrt{1-sin(13x))}

What is the first derivative of arcsin(sqrt(sin(13x))) ?

The first derivative of arcsin(sqrt(sin(13x))) is (13cos(13x))/(2sqrt(sin(13x))\sqrt{1-sin(13x))}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (arcsin (sin (13 x)))

\frac{13 cos ( 13 x )}{2 sin ( 13 x ) 1 - sin ( 13 x )}

Solution steps

\frac{d}{d x} (arcsin (sin (13 x)))

Apply the chain rule:

\frac{1}{1 - ( sin ( 13 x ) ) ^{2}} \frac{d}{d x} (sin (13 x))

= \frac{1}{1 - ( sin ( 13 x ) ) ^{2}} \frac{d}{d x} (sin (13 x))

\frac{d}{d x} (sin (13 x)) = \frac{13 cos ( 13 x )}{2 sin ( 13 x )}

= \frac{1}{1 - ( sin ( 13 x ) ) ^{2}} \cdot \frac{13 cos ( 13 x )}{2 sin ( 13 x )}

Simplify

\frac{1}{1 - ( sin ( 13 x ) ) ^{2}} \cdot \frac{13 cos ( 13 x )}{2 sin ( 13 x )} : \frac{13 cos ( 13 x )}{2 sin ( 13 x ) 1 - sin ( 13 x )}

= \frac{13 cos ( 13 x )}{2 sin ( 13 x ) 1 - sin ( 13 x )}

\int arcsec (t) d t

\frac{d}{d x} (\frac{1}{4 - 3 x})

- \frac{x}{y}

\int sin (x) 1 + cos^{2} (x) d x

\frac{d P}{d t} = P (1 0^{- 1} - P \cdot 1 0^{- 7}), P (0) = 7000

What is the derivative of arcsin(sqrt(sin(13x))) ?
The derivative of arcsin(sqrt(sin(13x))) is (13cos(13x))/(2sqrt(sin(13x))\sqrt{1-sin(13x))}
What is the first derivative of arcsin(sqrt(sin(13x))) ?
The first derivative of arcsin(sqrt(sin(13x))) is (13cos(13x))/(2sqrt(sin(13x))\sqrt{1-sin(13x))}