What is the tangent of f(x)= 2/(x-6),(8,1) ?

The tangent of f(x)= 2/(x-6),(8,1) is y=-1/2 x+5

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tangent of f(x)= 2/(x-6),(8,1)

tangent of

f (x) = \frac{2}{x - 6}, (8, 1)

y = - \frac{1}{2} x + 5

Solution steps

Find the slope of

f (x) = \frac{2}{x - 6} : \frac{df ( x )}{d x} = - \frac{2}{( x - 6 ) ^{2}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = - \frac{1}{2}

Find the line with slope m=

- \frac{1}{2}

and passing through

(8, 1) : y = - \frac{1}{2} x + 5

y = - \frac{1}{2} x + 5

What is the tangent of f(x)= 2/(x-6),(8,1) ?
The tangent of f(x)= 2/(x-6),(8,1) is y=-1/2 x+5