What is the derivative of ln(1+5x) ?

The derivative of ln(1+5x) is 5/(1+5x)

What is the first derivative of ln(1+5x) ?

The first derivative of ln(1+5x) is 5/(1+5x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

ln (1 + 5 x)

\frac{5}{1 + 5 x}

Solution steps

\frac{d}{d x} (ln (1 + 5 x))

Apply the chain rule:

\frac{1}{1 + 5 x} \frac{d}{d x} (1 + 5 x)

= \frac{1}{1 + 5 x} \frac{d}{d x} (1 + 5 x)

\frac{d}{d x} (1 + 5 x) = 5

= \frac{1}{1 + 5 x} \cdot 5

Simplify

\frac{1}{1 + 5 x} \cdot 5 : \frac{5}{1 + 5 x}

= \frac{5}{1 + 5 x}

\frac{d y}{d x}, y = 1 3^{x}

\frac{d}{d x} (- \frac{2}{e ^{x}})

\frac{d}{d x} (\frac{cos ( x )}{e ^{x}})

\frac{d}{d x} (x^{4} - 2 x^{2} + 1)

x \to \infty lim (x^{- 3})

What is the derivative of ln(1+5x) ?
The derivative of ln(1+5x) is 5/(1+5x)
What is the first derivative of ln(1+5x) ?
The first derivative of ln(1+5x) is 5/(1+5x)