What is the derivative of 200ln(x/(40)) ?

The derivative of 200ln(x/(40)) is (200)/x

What is the first derivative of 200ln(x/(40)) ?

The first derivative of 200ln(x/(40)) is (200)/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (200 ln (\frac{x}{40}))

\frac{200}{x}

Solution steps

\frac{d}{d x} (200 ln (\frac{x}{40}))

Take the constant out:

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

= 200 \frac{d}{d x} (ln (\frac{x}{40}))

Apply the chain rule:

\frac{1}{\frac{x}{40}} \frac{d}{d x} (\frac{x}{40})

= \frac{1}{\frac{x}{40}} \frac{d}{d x} (\frac{x}{40})

\frac{d}{d x} (\frac{x}{40}) = \frac{1}{40}

= 200 \cdot \frac{1}{\frac{x}{40}} \cdot \frac{1}{40}

Simplify

200 \cdot \frac{1}{\frac{x}{40}} \cdot \frac{1}{40} : \frac{200}{x}

= \frac{200}{x}

\int (3 t + 1) (t - 2) d t

n \to \infty lim (n!)

4 x - 3

\frac{d}{d x} (ln (\frac{2 x}{x + 3}))

\int 1 - 2 cos (x) d x

What is the derivative of 200ln(x/(40)) ?
The derivative of 200ln(x/(40)) is (200)/x
What is the first derivative of 200ln(x/(40)) ?
The first derivative of 200ln(x/(40)) is (200)/x