What is the derivative of x/(x^2-4) ?

The derivative of x/(x^2-4) is (-x^2-4)/((x^2-4)^2)

What is the first derivative of x/(x^2-4) ?

The first derivative of x/(x^2-4) is (-x^2-4)/((x^2-4)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{x}{x ^{2} - 4}

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

= \frac{1 \cdot ( x ^{2} - 4 ) - 2 xx}{( x ^{2} - 4 ) ^{2}}

1 \cdot (x^{2} - 4) - 2 xx = - x^{2} - 4

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

\frac{d}{d θ} (\frac{1}{2 cos ( θ ) + 3 sin ( θ )})

\frac{d}{d x} (sin (sin (2 x)))

\int - 2 d x

\int (3 x^{5} - 5 x + 6) d x

\frac{s + 1}{s ^{2} ( s ^{2} + 1 )}

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