What is the derivative of 2log_{3}(x) ?

The derivative of 2log_{3}(x) is 2/(ln(3)x)

What is the first derivative of 2log_{3}(x) ?

The first derivative of 2log_{3}(x) is 2/(ln(3)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} (2 lo g_{3} (x))

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

Solution steps

\frac{d}{d x} (2 lo g_{3} (x))

Take the constant out:

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

= 2 \frac{d}{d x} (lo g_{3} (x))

Apply the derivative log rule:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

= 2 \cdot \frac{1}{x ln ( 3 )}

Simplify

2 \cdot \frac{1}{x ln ( 3 )} : \frac{2}{ln ( 3 ) x}

= \frac{2}{ln ( 3 ) x}

\int_{0}^{2} x 8 - 2 x^{2} d x

\int \frac{2}{35 sin ( x ) - 12 cos ( x )} d x

\int x arctan (x^{2}) d x

\frac{2 t ^{2} + 1}{t}

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

What is the derivative of 2log_{3}(x) ?
The derivative of 2log_{3}(x) is 2/(ln(3)x)
What is the first derivative of 2log_{3}(x) ?
The first derivative of 2log_{3}(x) is 2/(ln(3)x)