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

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

tangent of

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

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

Solution steps

Find the tangent point:

(2, \frac{3}{2})

Find the slope of

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

Find the line with slope m=

- \frac{3}{4}

and passing through

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

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

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