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

The tangent of f(x)= x/(x-2),\at x=3 is y=-2x+9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)= x/(x-2),\at x=3

tangent of

f (x) = \frac{x}{x - 2}, at x = 3

y = - 2 x + 9

Solution steps

Find the tangent point:

(3, 3)

Find the slope of

f (x) = \frac{x}{x - 2} : \frac{df ( x )}{d x} = - \frac{2}{( x - 2 ) ^{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 = - 2

Find the line with slope m=

- 2

and passing through

(3, 3) : y = - 2 x + 9

y = - 2 x + 9

What is the tangent of f(x)= x/(x-2),\at x=3 ?
The tangent of f(x)= x/(x-2),\at x=3 is y=-2x+9