What is the tangent of f(x)=tan(x)+x,\at x= pi/4 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=tan(x)+x,\at x= pi/4

tangent of

f (x) = tan (x) + x, at x = \frac{π}{4}

y = 3 x + 1 - \frac{π}{2}

Solution steps

Find the tangent point:

(\frac{π}{4}, 1 + \frac{π}{4})

Find the slope of

f (x) = tan (x) + x : \frac{df ( x )}{d x} = sec^{2} (x) + 1

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 = 3

Find the line with slope m=

3

and passing through

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

y = 3 x + 1 - \frac{π}{2}

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