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

The tangent of f(x)= x/(x-1),\at x=2 is y=-x+4

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-1),\at x=2

tangent of

f (x) = \frac{x}{x - 1}, at x = 2

y = - x + 4

Solution steps

Find the tangent point:

(2, 2)

Find the slope of

f (x) = \frac{x}{x - 1} : \frac{df ( x )}{d x} = - \frac{1}{( x - 1 ) ^{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)= x/(x-1),\at x=2 ?
The tangent of f(x)= x/(x-1),\at x=2 is y=-x+4