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

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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}

\int 5 x e^{2 x} d x

arcsec (4 x)

y = - \frac{5}{( x + 3 ) ^{2}}

f (x) = 2 x + 7

\int \frac{( x ^{2} - 1 )}{x ^{3} + x} d x

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