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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

x - \frac{1}{3 x ^{3}}

1 + \frac{1}{x ^{4}}

Solution steps

\frac{d}{d x} (x - \frac{1}{3 x ^{3}})

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - (- \frac{1}{x ^{4}})

Simplify

= 1 + \frac{1}{x ^{4}}

t an g e n t y = x^{2} - 2 x - 3

d er i v a t i v e x^{2} + 2 x + 4

in v erse l a pl a ce \frac{1}{s ( s + 2 ) ( s + 6 )}

\int_{- 1}^{1} \frac{1}{x ^{2} - 1} d x

t an g e n t f (x) = 4 x e^{x}, (0, 0)

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