What is the derivative of 6cos(x+6xsin(x)) ?

The derivative of 6cos(x+6xsin(x)) is 6xcos(x)

What is the first derivative of 6cos(x+6xsin(x)) ?

The first derivative of 6cos(x+6xsin(x)) is 6xcos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (6 cos (x) + 6 x sin (x))

6 x cos (x)

Solution steps

\frac{d}{d x} (6 cos (x) + 6 x sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 cos (x)) + \frac{d}{d x} (6 x sin (x))

\frac{d}{d x} (6 cos (x)) = - 6 sin (x)

\frac{d}{d x} (6 x sin (x)) = 6 (sin (x) + x cos (x))

= - 6 sin (x) + 6 (sin (x) + x cos (x))

Simplify

- 6 sin (x) + 6 (sin (x) + x cos (x)) : 6 x cos (x)

= 6 x cos (x)

What is the derivative of 6cos(x+6xsin(x)) ?
The derivative of 6cos(x+6xsin(x)) is 6xcos(x)
What is the first derivative of 6cos(x+6xsin(x)) ?
The first derivative of 6cos(x+6xsin(x)) is 6xcos(x)