en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (ln(x))/(ln(2))

Solution

derivative of

\frac{ln ( x )}{ln ( 2 )}

Solution

\frac{1}{ln ( 2 ) x}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{1}{ln ( 2 )} \cdot \frac{1}{x}

Simplify

\frac{1}{ln ( 2 )} \cdot \frac{1}{x} : \frac{1}{ln ( 2 ) x}

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

Popular Examples

integral of (sqrt(4x^2+9))/(x^4)

\int \frac{4 x ^{2} + 9}{x ^{4}} d x

integral of x/(sqrt(9+x^4))

\int \frac{x}{9 + x ^{4}} d x

taylor (1+0.5x)/(1-0.5x)taylor

\frac{1 + 0.5 x}{1 - 0.5 x}

derivative of (3x/(2x^2+1))

\frac{d}{d x} (\frac{3 x}{2 x ^{2} + 1})

(\partial)/(\partial x)(1/2 (x^2+6y^2))

\frac{\partial}{\partial x} (\frac{1}{2} (x^{2} + 6 y^{2}))

Frequently Asked Questions (FAQ)

What is the derivative of (ln(x))/(ln(2)) ?
The derivative of (ln(x))/(ln(2)) is 1/(ln(2)x)
What is the first derivative of (ln(x))/(ln(2)) ?
The first derivative of (ln(x))/(ln(2)) is 1/(ln(2)x)