What is the tangent of 2sqrt(x),\at x=9 ?

The tangent of 2sqrt(x),\at x=9 is y= 1/3 x+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of 2sqrt(x),\at x=9

tangent of

2 x, at x = 9

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

Solution steps

Find the tangent point:

(9, 6)

Find the slope of

y = 2 x : \frac{d y}{d x} = \frac{1}{x}

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}{3}

Find the line with slope m=

\frac{1}{3}

and passing through

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

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

What is the tangent of 2sqrt(x),\at x=9 ?
The tangent of 2sqrt(x),\at x=9 is y= 1/3 x+3