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}}}

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

d er i v a t i v e - 12 x^{5} + 75 x^{4}

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

\int 0.5 e^{- 0.5 x} d x

d er i v a t i v e \frac{c e ^{t}}{1 + c e ^{t}}

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)}