What is the slope of y= 5/(sqrt(x)) ?

The slope of y= 5/(sqrt(x)) is -5/(2x^{3/2)}

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slope of y= 5/(sqrt(x))

slope

y = \frac{5}{x}

- \frac{5}{2 x ^{\frac{3}{2}}}

Solution steps

y = \frac{5}{x}

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

\frac{5}{x}

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

- \frac{5}{2 x ^{\frac{3}{2}}}

y^{^{''}} + 6 y^{^{'}} + 9 = 0

\frac{d}{d x} (e^{- 0.5 x} (4 - x) - 2)

(1 - x + x^{2}) e^{x}

\frac{\partial}{\partial x} (x^{5} - 6 x + 4 y^{3} - y^{2})

(4.6) (3.1)

What is the slope of y= 5/(sqrt(x)) ?
The slope of y= 5/(sqrt(x)) is -5/(2x^{3/2)}