en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x^3/3-3/(x^3))

Solution

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

Solution

x^{2} + \frac{9}{x ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{x ^{3}}{3}) = x^{2}

\frac{d}{d x} (\frac{3}{x ^{3}}) = - \frac{9}{x ^{4}}

= x^{2} - (- \frac{9}{x ^{4}})

Simplify

= x^{2} + \frac{9}{x ^{4}}

Popular Examples

integral of x/(x^2-x-1)

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

(\partial)/(\partial x)(2x+3y-7)

\frac{\partial}{\partial x} (2 x + 3 y - 7)

derivative of f(x)=(x^2-36)/(x-6)derivative of

f (x) = \frac{x ^{2} - 36}{x - 6}

(\partial)/(\partial x)(4x^2+y^2)

\frac{\partial}{\partial x} (4 x^{2} + y^{2})

y^{''}-7y^'=49t

y^{^{''}} - 7 y^{^{'}} = 49 t

Frequently Asked Questions (FAQ)

What is the derivative of (x^3/3-3/(x^3)) ?
The derivative of (x^3/3-3/(x^3)) is x^2+9/(x^4)
What is the first derivative of (x^3/3-3/(x^3)) ?
The first derivative of (x^3/3-3/(x^3)) is x^2+9/(x^4)