What is the tangent of f(x)=2sqrt(x),\at x=1 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=2sqrt(x),\at x=1

tangent of

f (x) = 2 x, at x = 1

y = x + 1

Solution steps

Find the tangent point:

(1, 2)

Find the slope of

f (x) = 2 x : \frac{df ( x )}{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 = 1

Find the line with slope m=

1

and passing through

(1, 2) : y = x + 1

y = x + 1

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