What is the slope of y=(6x)/(x^2+1) ?

The slope of y=(6x)/(x^2+1) is (6(-x^2+1))/((x^2+1)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

slope of y=(6x)/(x^2+1)

slope

y = \frac{6 x}{x ^{2} + 1}

\frac{6 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

Solution steps

y = \frac{6 x}{x ^{2} + 1}

In order to find the slope of the function, take the derivative of

\frac{6 x}{x ^{2} + 1}

\frac{d}{d x} (\frac{6 x}{x ^{2} + 1}) = \frac{6 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

\frac{6 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

What is the slope of y=(6x)/(x^2+1) ?
The slope of y=(6x)/(x^2+1) is (6(-x^2+1))/((x^2+1)^2)