What is the slope of y= 1/(x-5),\at x=10 ?

The slope of y= 1/(x-5),\at x=10 is -1/25

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slope of y= 1/(x-5),\at x=10

slope

y = \frac{1}{x - 5}, at x = 10

- \frac{1}{25}

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 = 10 : - \frac{1}{25}

- \frac{1}{25}

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

x \to \infty lim (1 - \frac{4}{x})

\int \frac{5}{6 e ^{2 x}} d x

3 4 - 9 x

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

What is the slope of y= 1/(x-5),\at x=10 ?
The slope of y= 1/(x-5),\at x=10 is -1/25