What is the slope of 7/(sqrt(x)) ?

The slope of 7/(sqrt(x)) is -7/(2x^{3/2)}

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slope of 7/(sqrt(x))

slope

\frac{7}{x}

- \frac{7}{2 x ^{\frac{3}{2}}}

Solution steps

y = \frac{7}{x}

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

\frac{7}{x}

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{2 x ^{\frac{3}{2}}}

- \frac{7}{2 x ^{\frac{3}{2}}}

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\frac{d}{d x} (22 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

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\frac{\partial}{\partial x} (x - 4 y)