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

The derivative of (x^3/(1-x^3)) is (3x^2)/((1-x^3)^2)

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

The first derivative of (x^3/(1-x^3)) is (3x^2)/((1-x^3)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{3 x ^{2}}{( 1 - x ^{3} ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

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

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

Simplify

\frac{3 x ^{2} ( 1 - x ^{3} ) - ( - 3 x ^{2} ) x ^{3}}{( 1 - x ^{3} ) ^{2}} : \frac{3 x ^{2}}{( 1 - x ^{3} ) ^{2}}

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

\frac{\partial}{\partial x} (x + e^{z} + y)

\int 4 sin (2 x) - 3 cos (3 x) d x

f (x) = x^{4} + 5 x - 2, (1, 4)

\int \frac{e ^{4 r}}{r} d r

x \to - 3 - lim (\frac{x + 4}{x + 3})

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