What is the tangent of y= 3/x ,(4, 3/4) ?

The tangent of y= 3/x ,(4, 3/4) is y=-3/16 x+3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of y= 3/x ,(4, 3/4)

tangent of

y = \frac{3}{x}, (4, \frac{3}{4})

y = - \frac{3}{16} x + \frac{3}{2}

Solution steps

Find the slope of

y = \frac{3}{x} : \frac{d y}{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}{16}

Find the line with slope m=

- \frac{3}{16}

and passing through

(4, \frac{3}{4}) : y = - \frac{3}{16} x + \frac{3}{2}

y = - \frac{3}{16} x + \frac{3}{2}

What is the tangent of y= 3/x ,(4, 3/4) ?
The tangent of y= 3/x ,(4, 3/4) is y=-3/16 x+3/2