What is the derivative of (x-sin(x)^5) ?

The derivative of (x-sin(x)^5) is 5(x-sin(x))^4(1-cos(x))

What is the first derivative of (x-sin(x)^5) ?

The first derivative of (x-sin(x)^5) is 5(x-sin(x))^4(1-cos(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} ((x - sin (x))^{5})

5 (x - sin (x))^{4} (1 - cos (x))

Solution steps

\frac{d}{d x} ((x - sin (x))^{5})

Apply the chain rule:

5 (x - sin (x))^{4} \frac{d}{d x} (x - sin (x))

= 5 (x - sin (x))^{4} \frac{d}{d x} (x - sin (x))

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

= 5 (x - sin (x))^{4} (1 - cos (x))

What is the derivative of (x-sin(x)^5) ?
The derivative of (x-sin(x)^5) is 5(x-sin(x))^4(1-cos(x))
What is the first derivative of (x-sin(x)^5) ?
The first derivative of (x-sin(x)^5) is 5(x-sin(x))^4(1-cos(x))