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

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

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tangent of f(x)= 2/x ,\at x=-4

tangent of

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

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

Solution steps

Find the tangent point:

(- 4, - \frac{1}{2})

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}{8}

Find the line with slope m=

- \frac{1}{8}

and passing through

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

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

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