What is the derivative of (x^2+2/(x^2-3)) ?

The derivative of (x^2+2/(x^2-3)) is -(10x)/((x^2-3)^2)

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

The first derivative of (x^2+2/(x^2-3)) is -(10x)/((x^2-3)^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 ^{2} + 2}{x ^{2} - 3})

- \frac{10 x}{( x ^{2} - 3 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{2 x ( x ^{2} - 3 ) - 2 x ( x ^{2} + 2 )}{( x ^{2} - 3 ) ^{2}} : - \frac{10 x}{( x ^{2} - 3 ) ^{2}}

= - \frac{10 x}{( x ^{2} - 3 ) ^{2}}

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

y = ln^{3} (a^{2} + 1)

2 x^{2} + 2, (1, 3)

\frac{d}{d x} (\frac{1}{cos ( 2 x )})

\int x^{2} 4 - x d x

What is the derivative of (x^2+2/(x^2-3)) ?
The derivative of (x^2+2/(x^2-3)) is -(10x)/((x^2-3)^2)
What is the first derivative of (x^2+2/(x^2-3)) ?
The first derivative of (x^2+2/(x^2-3)) is -(10x)/((x^2-3)^2)