What is the derivative of x/(x^2-6) ?

The derivative of x/(x^2-6) is (-x^2-6)/((x^2-6)^2)

What is the first derivative of x/(x^2-6) ?

The first derivative of x/(x^2-6) is (-x^2-6)/((x^2-6)^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} - 6}

\frac{- x ^{2} - 6}{( x ^{2} - 6 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{x ^{2} - 6})

Apply the Quotient Rule:

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

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

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

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

= \frac{1 \cdot ( x ^{2} - 6 ) - 2 xx}{( x ^{2} - 6 ) ^{2}}

1 \cdot (x^{2} - 6) - 2 xx = - x^{2} - 6

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

\int \frac{1}{16 sin ^{2} ( x )} d x

81 y^{^{''}} + 18 y^{^{'}} + y = 0

(1.2) (2.4)

\frac{d}{d x} (\frac{4 x ^{3} + 3 x ^{2}}{x})

What is the derivative of x/(x^2-6) ?
The derivative of x/(x^2-6) is (-x^2-6)/((x^2-6)^2)
What is the first derivative of x/(x^2-6) ?
The first derivative of x/(x^2-6) is (-x^2-6)/((x^2-6)^2)