What is the tangent of y=(4x)/(x+3),(1,1) ?

The tangent of y=(4x)/(x+3),(1,1) is y= 3/4 x+1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of y=(4x)/(x+3),(1,1)

tangent of

y = \frac{4 x}{x + 3}, (1, 1)

y = \frac{3}{4} x + \frac{1}{4}

Solution steps

Find the slope of

y = \frac{4 x}{x + 3} : \frac{d y}{d x} = \frac{12}{( 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}{4}

Find the line with slope m=

\frac{3}{4}

and passing through

(1, 1) : y = \frac{3}{4} x + \frac{1}{4}

y = \frac{3}{4} x + \frac{1}{4}

What is the tangent of y=(4x)/(x+3),(1,1) ?
The tangent of y=(4x)/(x+3),(1,1) is y= 3/4 x+1/4