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

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

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

tangent of

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

y = - x - 4

Solution steps

Find the tangent point:

(- 2, - 2)

Find the slope of

f (x) = \frac{4}{x} : \frac{df ( x )}{d x} = - \frac{4}{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 = - 1

Find the line with slope m=

- 1

and passing through

(- 2, - 2) : y = - x - 4

y = - x - 4

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