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

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

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

tangent of

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

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

Solution steps

Find the tangent point:

(- 2, - 1)

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}{2}

Find the line with slope m=

- \frac{1}{2}

and passing through

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

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

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