What is the slope of y= 1/(x-5),\at x=8 ?

The slope of y= 1/(x-5),\at x=8 is -1/9

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slope of y= 1/(x-5),\at x=8

slope

y = \frac{1}{x - 5}, at x = 8

- \frac{1}{9}

Solution steps

y = \frac{1}{x - 5}

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

\frac{1}{x - 5}

\frac{d}{d x} (\frac{1}{x - 5}) = - \frac{1}{( x - 5 ) ^{2}}

- \frac{1}{( x - 5 ) ^{2}}

Find the value of

- \frac{1}{( x - 5 ) ^{2}}

for

x = 8 : - \frac{1}{9}

- \frac{1}{9}

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

\int \frac{sin ( t )}{cos ( t )} d t

x \to 2 lim (2 x^{2} - 2)

7 cos (9 x), 7 - 7 cos (9 x)

\int \frac{x ^{2}}{x ^{2}} d x

What is the slope of y= 1/(x-5),\at x=8 ?
The slope of y= 1/(x-5),\at x=8 is -1/9