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

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

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tangent of f(x)= 1/x ,\at x=-1

tangent of

f (x) = \frac{1}{x}, at x = - 1

y = - x - 2

Solution steps

Find the tangent point:

(- 1, - 1)

Find the slope of

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

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

y = - x - 2

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