What is the tangent of f(x)=2sin(x),\at x= pi/3 ?

The tangent of f(x)=2sin(x),\at x= pi/3 is y=x+sqrt(3)-pi/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=2sin(x),\at x= pi/3

tangent of

f (x) = 2 sin (x), at x = \frac{π}{3}

y = x + 3 - \frac{π}{3}

Solution steps

Find the tangent point:

(\frac{π}{3}, 3)

Find the slope of

f (x) = 2 sin (x) : \frac{df ( x )}{d x} = 2 cos (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

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

y = x + 3 - \frac{π}{3}

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