What is the slope of sqrt(x)+1/(sqrt(x)) ?

The slope of sqrt(x)+1/(sqrt(x)) is 1/(2sqrt(x))-1/(2x^{3/2)}

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slope of sqrt(x)+1/(sqrt(x))

slope

x + \frac{1}{x}

\frac{1}{2 x} - \frac{1}{2 x ^{\frac{3}{2}}}

Solution steps

y = x + \frac{1}{x}

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

x + \frac{1}{x}

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

\frac{1}{2 x} - \frac{1}{2 x ^{\frac{3}{2}}}

\int 6 e^{- t} d t

\int_{0}^{\frac{π}{6}} 9 sec^{2} (x) d x

\int \frac{1}{( x ^{2} x ^{2} - 4 )} d x

\int arccsc (\frac{1}{x}) d x

x \to 20 lim (- 85)

What is the slope of sqrt(x)+1/(sqrt(x)) ?
The slope of sqrt(x)+1/(sqrt(x)) is 1/(2sqrt(x))-1/(2x^{3/2)}