What is the derivative of 10cos(3/10 x) ?

The derivative of 10cos(3/10 x) is -3sin((3x)/(10))

What is the first derivative of 10cos(3/10 x) ?

The first derivative of 10cos(3/10 x) is -3sin((3x)/(10))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (10 cos (\frac{3}{10} x))

- 3 sin (\frac{3 x}{10})

Solution steps

\frac{d}{d x} (10 cos (\frac{3}{10} x))

Simplify

10 cos (\frac{3}{10} x) : 10 cos (\frac{3 x}{10})

= \frac{d}{d x} (10 cos (\frac{3 x}{10}))

Take the constant out:

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

= 10 \frac{d}{d x} (cos (\frac{3 x}{10}))

Apply the chain rule:

- sin (\frac{3 x}{10}) \frac{d}{d x} (\frac{3 x}{10})

= - sin (\frac{3 x}{10}) \frac{d}{d x} (\frac{3 x}{10})

\frac{d}{d x} (\frac{3 x}{10}) = \frac{3}{10}

= 10 (- sin (\frac{3 x}{10}) \frac{3}{10})

Simplify

10 (- sin (\frac{3 x}{10}) \frac{3}{10}) : - 3 sin (\frac{3 x}{10})

= - 3 sin (\frac{3 x}{10})

What is the derivative of 10cos(3/10 x) ?
The derivative of 10cos(3/10 x) is -3sin((3x)/(10))
What is the first derivative of 10cos(3/10 x) ?
The first derivative of 10cos(3/10 x) is -3sin((3x)/(10))