What is the derivative of sin(sqrt(1-x)) ?

The derivative of sin(sqrt(1-x)) is -(cos(sqrt(1-x)))/(2sqrt(1-x))

What is the first derivative of sin(sqrt(1-x)) ?

The first derivative of sin(sqrt(1-x)) is -(cos(sqrt(1-x)))/(2sqrt(1-x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

cos (1 - x) (- \frac{1}{2 1 - x}) : - \frac{cos ( 1 - x )}{2 1 - x}

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

What is the derivative of sin(sqrt(1-x)) ?
The derivative of sin(sqrt(1-x)) is -(cos(sqrt(1-x)))/(2sqrt(1-x))
What is the first derivative of sin(sqrt(1-x)) ?
The first derivative of sin(sqrt(1-x)) is -(cos(sqrt(1-x)))/(2sqrt(1-x))