What is the derivative of 3/(5x) ?

The derivative of 3/(5x) is -3/(5x^2)

What is the first derivative of 3/(5x) ?

The first derivative of 3/(5x) is -3/(5x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{3}{5 x})

- \frac{3}{5 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{5 x})

Take the constant out:

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

= \frac{3}{5} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= \frac{3}{5} \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= \frac{3}{5} (- 1 \cdot x^{- 1 - 1})

Simplify

\frac{3}{5} (- 1 \cdot x^{- 1 - 1}) : - \frac{3}{5 x ^{2}}

= - \frac{3}{5 x ^{2}}

\frac{d}{d t} (2 sin (t) + 2)

\frac{d}{d x} (e^{0.2 x})

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

\int 16 x^{3} cos (2 - x^{4}) d x

\frac{d}{d u} (cos (u))

What is the derivative of 3/(5x) ?
The derivative of 3/(5x) is -3/(5x^2)
What is the first derivative of 3/(5x) ?
The first derivative of 3/(5x) is -3/(5x^2)