What is the tangent of f(x)=(5x)/(x+3),\at x=2 ?

The tangent of f(x)=(5x)/(x+3),\at x=2 is y= 3/5 x+4/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=(5x)/(x+3),\at x=2

tangent of

f (x) = \frac{5 x}{x + 3}, at x = 2

y = \frac{3}{5} x + \frac{4}{5}

Solution steps

Find the tangent point:

(2, 2)

Find the slope of

f (x) = \frac{5 x}{x + 3} : \frac{df ( x )}{d x} = \frac{15}{( 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{3}{5}

Find the line with slope m=

\frac{3}{5}

and passing through

(2, 2) : y = \frac{3}{5} x + \frac{4}{5}

y = \frac{3}{5} x + \frac{4}{5}

What is the tangent of f(x)=(5x)/(x+3),\at x=2 ?
The tangent of f(x)=(5x)/(x+3),\at x=2 is y= 3/5 x+4/5