What is the derivative of 2/(t^4) ?

The derivative of 2/(t^4) is -8/(t^5)

What is the first derivative of 2/(t^4) ?

The first derivative of 2/(t^4) is -8/(t^5)

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 ^{4}}

- \frac{8}{t ^{5}}

Solution steps

\frac{d}{d t} (\frac{2}{t ^{4}})

Take the constant out:

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

= 2 \frac{d}{d t} (\frac{1}{t ^{4}})

Apply exponent rule:

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

= 2 \frac{d}{d t} (t^{- 4})

Apply the Power Rule:

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

= 2 (- 4 t^{- 4 - 1})

Simplify

2 (- 4 t^{- 4 - 1}) : - \frac{8}{t ^{5}}

= - \frac{8}{t ^{5}}

n = 1 \sum \infty \frac{( 1 )}{2 n + 7}

n = 2 \sum \infty 1 - \frac{1}{n ^{2}}

y = x^{4} ln (x)

x \frac{d y}{d x} - 4 y = x^{6} x^{x}

\int 50 + 3.5 x e^{- 0.01 x^{2}} d x

What is the derivative of 2/(t^4) ?
The derivative of 2/(t^4) is -8/(t^5)
What is the first derivative of 2/(t^4) ?
The first derivative of 2/(t^4) is -8/(t^5)