What is the derivative of sin(xcos(x)) ?

The derivative of sin(xcos(x)) is cos(xcos(x))(cos(x)-xsin(x))

What is the first derivative of sin(xcos(x)) ?

The first derivative of sin(xcos(x)) is cos(xcos(x))(cos(x)-xsin(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

sin (x cos (x))

cos (x cos (x)) (cos (x) - x sin (x))

Solution steps

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

Apply the chain rule:

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

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

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

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

What is the derivative of sin(xcos(x)) ?
The derivative of sin(xcos(x)) is cos(xcos(x))(cos(x)-xsin(x))
What is the first derivative of sin(xcos(x)) ?
The first derivative of sin(xcos(x)) is cos(xcos(x))(cos(x)-xsin(x))