What is the derivative of 2/t ?

The derivative of 2/t is -2/(t^2)

What is the first derivative of 2/t ?

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

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

Solution steps

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

Take the constant out:

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

= 2 \frac{d}{d t} (\frac{1}{t})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 2 (- 1 \cdot t^{- 1 - 1})

Simplify

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

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

\int (5 x - 8)^{7} d x

x \to - 1 lim (\frac{1}{x - 1})

n = 1 \sum \infty 6 \cdot (0.9)^{n - 1}

\int_{1}^{1.5} \frac{1}{8} + \frac{3}{8} x d x

\frac{s}{s ^{2} + 5 s + 6}