What is the derivative of t^{-1} ?

The derivative of t^{-1} is -1/(t^2)

What is the first derivative of t^{-1} ?

The first derivative of t^{-1} is -1/(t^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

t^{- 1}

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

Solution steps

\frac{d}{d t} (t^{- 1})

Apply the Power Rule:

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

= - 1 \cdot t^{- 1 - 1}

Simplify

- 1 \cdot t^{- 1 - 1} : - \frac{1}{t ^{2}}

= - \frac{1}{t ^{2}}

What is the derivative of t^{-1} ?
The derivative of t^{-1} is -1/(t^2)
What is the first derivative of t^{-1} ?
The first derivative of t^{-1} is -1/(t^2)