What is the tangent of f(x)= 2/x ,(-8,-1/4) ?

The tangent of f(x)= 2/x ,(-8,-1/4) is y=-1/32 x-1/2

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tangent of f(x)= 2/x ,(-8,-1/4)

tangent of

f (x) = \frac{2}{x}, (- 8, - \frac{1}{4})

y = - \frac{1}{32} x - \frac{1}{2}

Solution steps

Find the slope of

f (x) = \frac{2}{x} : \frac{df ( x )}{d x} = - \frac{2}{x ^{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}{32}

Find the line with slope m=

- \frac{1}{32}

and passing through

(- 8, - \frac{1}{4}) : y = - \frac{1}{32} x - \frac{1}{2}

y = - \frac{1}{32} x - \frac{1}{2}

What is the tangent of f(x)= 2/x ,(-8,-1/4) ?
The tangent of f(x)= 2/x ,(-8,-1/4) is y=-1/32 x-1/2