What is the tangent of f(x)=(12)/x ,\at x=-2 ?

The tangent of f(x)=(12)/x ,\at x=-2 is y=-3x-12

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tangent of f(x)=(12)/x ,\at x=-2

tangent

y = - 3 x - 12

Solution steps

Find the tangent point:

(- 2, - 6)

Find the slope of

f (x) = \frac{12}{x} : \frac{df ( x )}{d x} = - \frac{12}{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 = - 3

Find the line with slope m=

- 3

and passing through

(- 2, - 6) : y = - 3 x - 12

y = - 3 x - 12

What is the tangent of f(x)=(12)/x ,\at x=-2 ?
The tangent of f(x)=(12)/x ,\at x=-2 is y=-3x-12