What is the derivative of 8sin(x-8xcos(x)) ?

The derivative of 8sin(x-8xcos(x)) is 8xsin(x)

What is the first derivative of 8sin(x-8xcos(x)) ?

The first derivative of 8sin(x-8xcos(x)) is 8xsin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (8 sin (x) - 8 x cos (x))

8 x sin (x)

Solution steps

\frac{d}{d x} (8 sin (x) - 8 x cos (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (8 sin (x)) - \frac{d}{d x} (8 x cos (x))

\frac{d}{d x} (8 sin (x)) = 8 cos (x)

\frac{d}{d x} (8 x cos (x)) = 8 (cos (x) - x sin (x))

= 8 cos (x) - 8 (cos (x) - x sin (x))

Simplify

8 cos (x) - 8 (cos (x) - x sin (x)) : 8 x sin (x)

= 8 x sin (x)

What is the derivative of 8sin(x-8xcos(x)) ?
The derivative of 8sin(x-8xcos(x)) is 8xsin(x)
What is the first derivative of 8sin(x-8xcos(x)) ?
The first derivative of 8sin(x-8xcos(x)) is 8xsin(x)