What is the tangent of y=(2x)/(x+2),(2,1) ?

The tangent of y=(2x)/(x+2),(2,1) is y= 1/4 x+1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of y=(2x)/(x+2),(2,1)

tangent of

y = \frac{2 x}{x + 2}, (2, 1)

y = \frac{1}{4} x + \frac{1}{2}

Solution steps

Find the slope of

y = \frac{2 x}{x + 2} : \frac{d y}{d x} = \frac{4}{( x + 2 ) ^{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{1}{4}

Find the line with slope m=

\frac{1}{4}

and passing through

(2, 1) : y = \frac{1}{4} x + \frac{1}{2}

y = \frac{1}{4} x + \frac{1}{2}

\frac{d}{d x} ((4^{x})^{9})

x \to \infty + lim (\frac{1}{0})

d er i v a t i v e 3 x^{4} + 3 x

d er i v a t i v e 7 u + 2 u

\int_{0}^{1} 2 x e^{x} d x

What is the tangent of y=(2x)/(x+2),(2,1) ?
The tangent of y=(2x)/(x+2),(2,1) is y= 1/4 x+1/2