en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 4/(t^2)-2/t

Solution

derivative of

\frac{4}{t ^{2}} - \frac{2}{t}

Solution

- \frac{8}{t ^{3}} + \frac{2}{t ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d t} (\frac{4}{t ^{2}}) = - \frac{8}{t ^{3}}

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

= - \frac{8}{t ^{3}} - (- \frac{2}{t ^{2}})

Simplify

= - \frac{8}{t ^{3}} + \frac{2}{t ^{2}}

Popular Examples

tangent of f(x)=x^4,\at x=7 tangent of

f (x) = x^{4}, at x = 7

integral of (e^{2x})/(1+e^x)

\int \frac{e ^{2 x}}{1 + e ^{x}} d x

derivative of ((x^2+32x^{1/2})/8)

\frac{d}{d x} \frac{( x ^{2} + 32 x ^{\frac{1}{2}} )}{8}

(e^y+1)^2e^{-y}dx+(e^x+1)e^{-x}dy=0

(e^{y} + 1)^{2} e^{- y} d x + (e^{x} + 1) e^{- x} d y = 0

taylor 1/((x-1)^2)taylor

\frac{1}{( x - 1 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the derivative of 4/(t^2)-2/t ?
The derivative of 4/(t^2)-2/t is -8/(t^3)+2/(t^2)
What is the first derivative of 4/(t^2)-2/t ?
The first derivative of 4/(t^2)-2/t is -8/(t^3)+2/(t^2)