What is the tangent of f(x)=(x-1)/(x-4),\at x=5 ?

The tangent of f(x)=(x-1)/(x-4),\at x=5 is y=-3x+19

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=(x-1)/(x-4),\at x=5

tangent of

f (x) = \frac{x - 1}{x - 4}, at x = 5

y = - 3 x + 19

Solution steps

Find the tangent point:

(5, 4)

Find the slope of

f (x) = \frac{x - 1}{x - 4} : \frac{df ( x )}{d x} = - \frac{3}{( x - 4 ) ^{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

(5, 4) : y = - 3 x + 19

y = - 3 x + 19

What is the tangent of f(x)=(x-1)/(x-4),\at x=5 ?
The tangent of f(x)=(x-1)/(x-4),\at x=5 is y=-3x+19