What is the tangent of f(x)=2sqrt(x)+1,\at x= 1/4 ?

The tangent of f(x)=2sqrt(x)+1,\at x= 1/4 is y=2x+3/2

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)+1,\at x= 1/4

tangent of

f (x) = 2 x + 1, at x = \frac{1}{4}

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

Solution steps

Find the tangent point:

(\frac{1}{4}, 2)

Find the slope of

f (x) = 2 x + 1 : \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 = 2

Find the line with slope m=

2

and passing through

(\frac{1}{4}, 2) : y = 2 x + \frac{3}{2}

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

What is the tangent of f(x)=2sqrt(x)+1,\at x= 1/4 ?
The tangent of f(x)=2sqrt(x)+1,\at x= 1/4 is y=2x+3/2