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

The derivative of (x^3/y) is (3x^2y-\frac{dy)/(dx)x^3}{y^2}

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

The first derivative of (x^3/y) is (3x^2y-\frac{dy)/(dx)x^3}{y^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}}{y})

\frac{3 x ^{2} y - \frac{d y}{d x} x ^{3}}{y ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

= \frac{3 x ^{2} y - \frac{d y}{d x} x ^{3}}{y ^{2}}

\frac{d}{d y} (ln (x^{2} + y^{2}))

\frac{d}{d x} (\frac{6}{5} e^{- 20 x})

ln (\frac{x}{2}), x = 2

x \to - 1 lim (x^{5} - 1)

\frac{d}{d x} (\frac{24 x ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{4}})

What is the derivative of (x^3/y) ?
The derivative of (x^3/y) is (3x^2y-\frac{dy)/(dx)x^3}{y^2}
What is the first derivative of (x^3/y) ?
The first derivative of (x^3/y) is (3x^2y-\frac{dy)/(dx)x^3}{y^2}