What is the tangent of f(x)= 2/(x-2),(4,1) ?

The tangent of f(x)= 2/(x-2),(4,1) is y=-1/2 x+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)= 2/(x-2),(4,1)

tangent of

f (x) = \frac{2}{x - 2}, (4, 1)

y = - \frac{1}{2} x + 3

Solution steps

Find the slope of

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

Find the line with slope m=

- \frac{1}{2}

and passing through

(4, 1) : y = - \frac{1}{2} x + 3

y = - \frac{1}{2} x + 3

What is the tangent of f(x)= 2/(x-2),(4,1) ?
The tangent of f(x)= 2/(x-2),(4,1) is y=-1/2 x+3