What is the slope of y=(xln(x))/6+(2x)/3 ?

The slope of y=(xln(x))/6+(2x)/3 is (ln(x)+1)/6+2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

slope of y=(xln(x))/6+(2x)/3

slope

y = \frac{x ln ( x )}{6} + \frac{2 x}{3}

\frac{ln ( x ) + 1}{6} + \frac{2}{3}

Solution steps

y = \frac{x ln ( x )}{6} + \frac{2 x}{3}

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

\frac{x ln ( x )}{6} + \frac{2 x}{3}

\frac{d}{d x} (\frac{x ln ( x )}{6} + \frac{2 x}{3}) = \frac{ln ( x ) + 1}{6} + \frac{2}{3}

\frac{ln ( x ) + 1}{6} + \frac{2}{3}

What is the slope of y=(xln(x))/6+(2x)/3 ?
The slope of y=(xln(x))/6+(2x)/3 is (ln(x)+1)/6+2/3