What is the tangent of f(x)=(7x)/(x-3),\at x=6 ?

The tangent of f(x)=(7x)/(x-3),\at x=6 is y=-7/3 x+28

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=(7x)/(x-3),\at x=6

tangent of

f (x) = \frac{7 x}{x - 3}, at x = 6

y = - \frac{7}{3} x + 28

Solution steps

Find the tangent point:

(6, 14)

Find the slope of

f (x) = \frac{7 x}{x - 3} : \frac{df ( x )}{d x} = - \frac{21}{( x - 3 ) ^{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{7}{3}

Find the line with slope m=

- \frac{7}{3}

and passing through

(6, 14) : y = - \frac{7}{3} x + 28

y = - \frac{7}{3} x + 28

What is the tangent of f(x)=(7x)/(x-3),\at x=6 ?
The tangent of f(x)=(7x)/(x-3),\at x=6 is y=-7/3 x+28