What is the derivative of 1/(4y) ?

The derivative of 1/(4y) is -1/(4y^2)

What is the first derivative of 1/(4y) ?

The first derivative of 1/(4y) is -1/(4y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{1}{4 y}

- \frac{1}{4 y ^{2}}

Solution steps

\frac{d}{d y} (\frac{1}{4 y})

Take the constant out:

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

= \frac{1}{4} \frac{d}{d y} (\frac{1}{y})

Apply exponent rule:

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

= \frac{1}{4} \frac{d}{d y} (y^{- 1})

Apply the Power Rule:

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

= \frac{1}{4} (- 1 \cdot y^{- 1 - 1})

Simplify

\frac{1}{4} (- 1 \cdot y^{- 1 - 1}) : - \frac{1}{4 y ^{2}}

= - \frac{1}{4 y ^{2}}

What is the derivative of 1/(4y) ?
The derivative of 1/(4y) is -1/(4y^2)
What is the first derivative of 1/(4y) ?
The first derivative of 1/(4y) is -1/(4y^2)