What is the derivative of 2/(3x) ?

The derivative of 2/(3x) is -2/(3x^2)

What is the first derivative of 2/(3x) ?

The first derivative of 2/(3x) is -2/(3x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{2}{3 x}

- \frac{2}{3 x ^{2}}

Solution steps

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

Take the constant out:

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

= \frac{2}{3} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

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

= - \frac{2}{3 x ^{2}}

\int - \frac{12}{x ^{13}} d x

y = x + 3, (6, 3)

\frac{d y}{d x} = 2 e^{x - y}

\int \frac{x ^{3}}{x ^{4} - x ^{2} + 2} d x

f (x) = (3 x + 7) e^{x}

What is the derivative of 2/(3x) ?
The derivative of 2/(3x) is -2/(3x^2)
What is the first derivative of 2/(3x) ?
The first derivative of 2/(3x) is -2/(3x^2)