What is the derivative of t^2-1/(t^3) ?

The derivative of t^2-1/(t^3) is 2t+3/(t^4)

What is the first derivative of t^2-1/(t^3) ?

The first derivative of t^2-1/(t^3) is 2t+3/(t^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

t^{2} - \frac{1}{t ^{3}}

2 t + \frac{3}{t ^{4}}

Solution steps

\frac{d}{d t} (t^{2} - \frac{1}{t ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (t^{2}) - \frac{d}{d t} (\frac{1}{t ^{3}})

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

\frac{d}{d t} (\frac{1}{t ^{3}}) = - \frac{3}{t ^{4}}

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

Simplify

= 2 t + \frac{3}{t ^{4}}

\frac{\partial}{\partial x} (\frac{y - 3 x}{z})

x y^{^{'}} - y = x^{2} e^{- 3 x}

x \to 1 - lim (2 x + 3)

\int e^{t} 2 t d t

x \to 1 lim (\frac{4 - 4 x}{x - 1})

What is the derivative of t^2-1/(t^3) ?
The derivative of t^2-1/(t^3) is 2t+3/(t^4)
What is the first derivative of t^2-1/(t^3) ?
The first derivative of t^2-1/(t^3) is 2t+3/(t^4)