What is the slope of y= 1/(x-4),x=8 ?

The slope of y= 1/(x-4),x=8 is -1/16

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slope of y= 1/(x-4),x=8

slope

y = \frac{1}{x - 4}, x = 8

- \frac{1}{16}

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}}

Find the value of

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

for

x = 8 : - \frac{1}{16}

- \frac{1}{16}

\frac{( x ^{2} + 2 x - 6 )}{( x + 1 ) ^{2}}

((\frac{2}{s}) - (\frac{1}{s ^{3}}))^{2}

f (x) = \frac{x ^{2}}{x + 8}

\frac{d y}{d x} + (\frac{5}{x}) y = - 3 x - 4

y^{^{'}} + 5 y = 5 - e^{t}