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

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

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

slope

f (x) = x + \frac{1}{x}

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

Solution steps

f (x) = 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}}}

n = 0 \sum \infty \frac{2}{3 ^{n}}

f (x) = (1 + x^{2}) (1 + x)

n \to \infty lim (\frac{e}{n})

x \to 1 lim ((2 x - 7)^{3})

\frac{d}{d x} (6 x^{2} - 6 x - 36)

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