What is the slope of 1/(x-4) ?

The slope of 1/(x-4) is -1/((x-4)^2)

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slope of 1/(x-4)

slope

\frac{1}{x - 4}

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

Solution steps

y = \frac{1}{x - 4}

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

\frac{1}{x - 4}

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

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

x \to 1 + lim (\frac{2}{x} - \frac{1}{ln ( x )})

\frac{\partial}{\partial x} (2 y \cdot arctan (\frac{x}{y}))

6 x + 4

\frac{d}{d x} (x^{2} + \frac{4}{x ^{2}})

x \to 6 lim (- 5 x^{2} + 6 x + 8)