What is the derivative of-sin(x/2) ?

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

What is the first derivative of-sin(x/2) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (- sin (\frac{x}{2}))

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

Solution steps

\frac{d}{d x} (- sin (\frac{x}{2}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

cos (\frac{x}{2}) \frac{d}{d x} (\frac{x}{2})

= cos (\frac{x}{2}) \frac{d}{d x} (\frac{x}{2})

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

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

y^{^{'}} = 13.2 - \frac{6 y}{740 - 2 t}

\frac{\partial}{\partial y} (x^{2} + 2 y^{2})

\frac{d y}{d x} = 4 x - y

\int \frac{x ^{2} - 3 x + 1}{x + 1} d x

\frac{\partial}{\partial y} (3 x e^{- 2 x y})

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